law of indices , show working
1. 10^8 × 10^4

2. (11^5)^4

3. 8^6 ÷ 8^3

4. (12^2) × 12^4

5. (13^4) ÷ 13^5

6. (5^2 × 5^3) ÷ 5^4

7. 18^4 ÷ 18^6

8. (19^2)^4 ÷ 19^8​

Answers

Answer 1

Answer:

Below.

Step-by-step explanation:

1. 10^8 × 10^4 = 10(8+4) = 10^12.

2. (11^5)^4 = 11^(5*4) = 11^20.

3. 8^6 ÷ 8^3 = 8^(6-3) = 8^3.

4. (12^2) × 12^4 = 12^6.

5. (13^4) ÷ 13^5 = 13^(4-5) = 13^-1.

6. (5^2 × 5^3) ÷ 5^4 = 5^5 / 5^4 = 5.

7. 18^4 ÷ 18^6 = 18^-2.

8. (19^2)^4 ÷ 19^8​ = 19^8 / 19^8  = 18^(8-8) = 18^0 = 1.


Related Questions

please please help! it’s due today and i don’t get it

Answers

Answer:

Well the value of (X) is 0

Step-by-step explanation:

Well the value of (X) is always 0

Kayden practices the piano 609 minutes in 3 weeks. If t represents the total time he
practices for any number of days, d, write a proportional equation for t in terms of d
that matches the context.

Answers

Answer:

Step-by-step explanation:

Solve for b, c and d

Answers

Answer:

Answer to B:

4

Answer to C:

-4

Answer to D:

2

An airline ticket costs $40.
The price is increased by 200%.
Work out the absolute increase.

Answers

So 200% is double of 100% which is $40 so that means that it is $80

An airline ticket costs $40. The price is increased by 200 percent. The absolute increase is $80.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

Cost of airline ticket = $40.

Increase in price = 200% of $40

Absolute increase = [tex]\frac{200}{100}* 40 = 80[/tex]

 

Learn more about percentage here

https://brainly.com/question/13450942

#SPJ2

How do u solve this? pls LOL

Answers

Answer:

8

Step-by-step explanation:

HF and DE are parallel to each other ( since corresponding angles are equal = 90°) .

Hence the smaller and the larger triangle will be similar to each other.

Also we know the corresponding sides of similar triangles are proportional .

=> 10 / z = 10+5/12

=> 10/z = 15/12

=> z = 10 *12/15

=> z = 8 yards

Answer:

8

Step-by-step explanation:

please answer fats i need it hurry

Answers

Answer:

78 in

Step-by-step explanation:

26 * 3 = 78 in

. Which angle is included between the sides MN & OM of AMNO​
quick pleaseeee

Answers

Give the figure pls
……………………….

In the inequality -2 < 2, which number appears farther right on a number line and why?​

Answers

Answer:

2

Step-by-step explanation:

2 is farther right on the number line because it is a positive number while -2 is negative.

What is the discriminant of the quadratic equation 9x^2+5x-9=0

Answers

Answer:

Δ = 349

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is

Δ = b² - 4ac

9x² + 5x - 9 = 0 ← is in standard form

with a = 9, b = 5 , c = - 9 , then

b² - 4ac

= 5² - (4 × 9 × - 9)

= 25 - (- 324)

= 25 + 324

= 349

1. If you report to work at 18.00 on a Wednesday and you get off at 02.50 on a

Thursday, which day of the pay period week are you working?

2. If you report to work at 06.00 on Friday and you get off work at 14.50 on Friday,

which Tour did you work?

I

3. If you report to work at 22.50 on Friday, for Week 2, and you get off of work at

07.00 on Saturday, for Week 1, your time worked is recorded for the next pay

period. Why?

Answers

Sheeeeeeeeeeeeeeeeeeeeeeeeeeeeesh

A bowling special costs $8.50 per hour for each adult and $5.00 per hour for each child one adult and two children go bowling what is the equation that shows the relationship between cost In dollars and time

Answers

Answer:22$

Step-by-step explanation:

2x8.50 = 17+5 = 22$

How long do they bowl

I GIVE BRAINLIST !!

Which point is in the graphed solution set of this system of inequalities

-3x+y>1
y>_ x-1

Answers

Answer:

I think the answer is option d

Add.

310+(−720)

Enter your answer as a fraction, in simplified form, in the box.

Answers

Answer:

-410/1

Step-by-step explanation:

Hey there!

Question :-

[tex]310 + ( -720)[/tex]

We need to solve this arithmetic expression,as a fraction.

Solution:-

[tex] \sf \longmapsto310 \: + ( - 720)[/tex]

Note that (+) and (-) equals to (-).

New Arithmetic expression will be :-

[tex]\sf \longmapsto310 + (720)[/tex]

Remove the parenthesis :-

[tex]\sf \longmapsto310 - 720[/tex]

Calculating the Subtraction:-

[tex]\sf \longmapsto310 - 720[/tex]

As 310 < 720, 720 contains (-) sign. Therefore, The Solution will be -410 not 410.

[tex]\sf \longmapsto - 410[/tex]

Converting to Fraction:-

[tex]\sf \longmapsto \: - 410[/tex]

[tex]\sf \longmapsto \: \dfrac{410 \times 1}{1 \times 1} [/tex]

[tex]\sf \longmapsto - \dfrac{410}{1} [/tex]

On Simplification of this Fraction:-

[tex]\sf \longmapsto \cancel \dfrac{ - 410}{1} [/tex]

On Cancelling , -410 Is the result.

[tex]\sf \longmapsto - {410} [/tex]

______________________________________

Henceforth , the answer of the arithmetic expression Will be :-(Simplified)

[tex]\boxed{\bf-{410} }[/tex]

________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

What is the least common denominator for 5 and 16

Answers

The least common denominator for 5 and 16 is 80

Answer: 80

Step-by-step explanation:

16, 32, 48, 64, 80

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 75, 80

why is the product of 3/2 and 3/4 greater than 3/4

Answers

Answer:  See below.

Step-by-step explanation:

(3/2)*(3/4) = 9/8

9/8, or 1 1/8 is greater than 3/4

The factor (3/2) is misleading.  It is 1.5 written as a fraction and its appearance as a fraction makes one think it is a small number.  

Write a proof. fill in statements and reasons for the blank sides, 10 points for each question.

Answers

Step-by-step explanation:

Statements / reasons:

Statement 1 >> RS ≅ UT            Reason 1 >> Given

Statement 2 >> RT ≅ US           Reason 2 >> Given

Statement 3 >> TS ≅ TS            Reason 3 >> Common side

Statement 4 >> ΔRST≅ΔUTS    Reason 4 >> SSS theorem

Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over.

Answers

Answer:

  GCF(54, 42) = 6 arrangements

Step-by-step explanation:

The number of such arrangements will be the greatest common factor (GCF) of the two numbers. You recall from your times tables that ...

  54 = 6×9

  42 = 6×7

The factors 9 and 7 have no factors in common, so 6 is the greatest common factor of 54 and 42.

  6 identical arrangements of 9 roses and 7 tulips can be made.

_____

Additional comment

When the numbers are small and found in your memorized times tables, finding the GCF is done by consulting your memory. Otherwise, it can be done by factoring, or by using Euclid's algorithm.

When the numbers are factored to primes, the GCF is the product of the prime factors the numbers have in common.

  54 = 2×3×3×3

  42 = 2×3×7

These factorizations have 2×3 = 6 in common.

__

Euclid's algorithm has you find the remainder from the division of the larger number by the smaller. When that remainder is not zero, it replaces the larger number, and the process repeats. When that remainder is zero, the divisor is the GCF.

  54/42 = 1 r 12

  42/12 = 3 r 6

  12/6 = 2 r 0 . . . . GCF = 6

This algorithm works on numbers of any size (including fractions and mixed numbers), so is especially useful when the factorization is not obvious.

Trevon bought one package of blueberries for $3. How many packages can Elisa buy if she has $63

Answers

Since trevon bought one package for 3 dollars than 3 x 21 equals 63
Answer = 21


AABC-ADEF so if BC = 10, EF = 25 and AB = 20, then DE =

Answers

7.2.....................................

Use the exchange rate £1 = €1.13 to convert €339 into £.

Answers

Answer:

the answer is £300.

..........

Answer:

383.07

Step-by-step explanation:

All the info

£1 = €1.13 What are we trying to do? Turn €339 into £.

Therefore 339 X 0.13=44.07 So 44.07+339=£383.07 making £383.07 the exchanged sum

Please help me with this homework …

Answers

The answer will be C

Briefly describe the five simple machine types listed 1.Pulley 2. Wheel and axle 3. Screw 4. wedge 5. Incline​

Answers

Answer:

wedge

Step-by-step explanation:

at a back to school sale backpacks are marked down at 15% off the original price was $34 then what was the sale price

Answers

Answer:

The answer is 4.57

Step-by-step explanation:

find the area in hectares of a rectangular farmland 1km by 1/2km​

Answers

Answer:

Solution: Length of the rectangular farmland =1km :Breadth of the rectangular farmland =1/2km

1km= 1000m, 1/2km =500m

Area=Length×Breadth

=1000x500m2=500000m2

=50×10000m2=50 hectares

:)

HELP ME PLEASE!!!!!!!!!!!!

Answers

Answer:

Your first equation y=1/2(1+0.3)^t is going to be growth

Your second equation y=0.3(0.95)^t is going to be decay

Your third equation y=((1+0.03)^1/2)^2t is going to be growth

your fourth equation y=200(0.73)^t is going to be decay

your last equation y=4(1/4)^t is going to be decay

Step-by-step explanation:

You can find this by graphing each of you equations on desmos

Answer:

Step-by-step explanation:

See attachment

Find the value of x and y.

Answers

Answer:

x = 4

y = 12°

Step-by-step explanation:

Since each angles are equal ,

So each angle is 60°.

=> 5y = 60°

=> y = 60/5°

=> y = 12°

Again all sides will be equal ,

=> 5x - 6 = 3x + 2

=> 5x - 3x = 6+2

=> 2x = 8

=> x = 4

Help please just this whoever answers correctly I will mark brainliest

3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late.

B. Make a table to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.​

Answers

Answer: for question number 3 is 3.50+.15f

Step-by-step explanation:

A cube has volume 1331cm3. Calculate the length of one edge of the cube.

Answers

Answer:

answer=11 cm.

Step-by-step explanation:

Step-by-step explanation:

V = Volume of cube

a = edge

Formula of volume of cube:

V = a³

[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]

The length of each edge is 11 cm.

d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 Evaluate d if ( x 1 , y 1 ) = ( − 3 , 4 ) and ( x 2 , y 2 ) = ( − 2 , 4 ) .

Answers

Answer:

1

Step-by-step explanation:

let's substitute the numbers:

[tex]d=\sqrt{[-2-(-3)]^2+(4-4)^2}=\sqrt{(-2+3)^2-0^2}= \sqrt1= 1[/tex]

The value of d if [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex] in [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] is 1.

Distance

The distance between the two co-ordinates points can be evaluated by using the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the endpoints.

How to evaluate the distance?

The given coordinate points are [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex].

Substitute the values of the known parameters in the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] as-

[tex]d=\sqrt{(-2-(-3))^2+(4-4)^2}\\=\sqrt{(-2+3)^2}\\=1[/tex]

Hence, the value of d is 1.

Learn more about the distance between the coordinate points here- https://brainly.com/question/14364020

#SPJ2

NEED ASAP!!!

Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2

Answers

Evaluate just means plug in the value that they give you, so instead of r you plug in -1/2
So. 28+79(-1/2)
=28+(-39.5)
= 28-39.5
=-11.5 or -11 1/2

Answer:

-11.5

Step-by-step explanation:

28+ 79r  r= -1/2

28+ 79(-1/2) =

28 + -39.5 -11.5

Other Questions
Angelique is a high school sophomore. She has a busy schedule that is packed with athletic activities, a social life, and homework. Often her afternoons and evenings are split between sports and friends, so she stays up late to catch up on homework. Most nights she gets between five to six hours of sleep. As a result, she wakes up each morning feeling tired. Find an equation for the perpendicular bisector of the line segment whose endpointsare (2, -1) and (6, -9). . They this man 10 years ago A. meet B. will meet C. have met D. met Anthony works at guest services for a large hotel in New-York. He was chosen during the interview because he is bi-lingual in French.For what other profession is being proficient in a second language an asset?InterpreterEngineerMusicianPhotographer 10 POINTS PLEASE HELP Write a procedural essay with media that is 1 2 pages in length. Clearly state your topic, and include all steps necessary to complete the procedure. You will submit your prewriting and planning documents along with your essay. please help meh can someone type it in on answers please im beggin u uuu or i cannt play games Suppose a self-regulating economy is in a recessionary gap at the time the Fed enacts expansionary monetary policy. Furthermore, suppose the Fed is able to enact expansionary monetary policy in such a precise way that the economy moves from a recessionary gap into long-run equilibrium, if there are no other changes in the economy. The combination of expansionary monetary policy and a self-regulating economy will cause: __________a. Real GDP to rise to a level above Natural Real GDP b. Real GDP to rise to a level below Natural Real GDP c. Real GDP to rise to a level dqual to Natural Real GDP. d. a recessionary gap to turn into an inflationary gap. Round 4.01 to the nearest one decimal place. Someone please help. I will give brainliest. Geometry work pls help ASAP When drawing, intersecting lines to model a shape is called crosshatching.TrueFalse Alex discovers that his colleague, Meredith, purposefully altered the data from their experiment so that the findings would confirm their hypothesis. Alex reports this behavior to the lead researcher and gets Meredith fired. Alex's actions best demonstrate which concept Find the value of x and thank for answer What happened in 1890 that led to Americans' desire to expand beyond their boarders and join theranks of the world's global powers? In ________ programs, annual compensation increases are usually linked to performance appraisal ratings. Dissolution of KOH, Hsoln:KOH(s) KOH(aq) (10.1) Neutralization of solid KOH, Hneut:KOH(s) + HCl(aq) H2O(l) + KCl(aq) (10.2)1) Using Hess's law, show how to combine Reaction 10.1 and Reaction 10.2 to giveKOH(aq) + HCl(aq) H2O(l) + KCl(aq) (10.3)2)How should Hsoln and Hneut be combined (mathematically) to give the change in enthalpy for Reaction 10.3, H? A summary should include as much information as possible,TrueO false He receives 35 rewards points just for signing up.He earns 2.5 points for each visit to the movie theater.He needs at least 55 points for a free movie ticket.Write and solve an inequality which can be used to determine vv, the number of visits Omar can make to earn his first free movie ticket. Question 8 (1 point)In the Standard Automotive Tire Designation P205/65R 15 94 T, the "T" designates the Tires _______. a)Aspect Ratio b)Load Index c)Speed Rating d)Tread Width If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year? Which object is moving faster?A