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The exponent rules are given below.

We are given that;

To state exponent rules

Now,

Exponent rules are the laws or principles that govern the operations on numbers or variables with exponents. An exponent is a number or a variable that tells how many times to use the base in a multiplication.

There are different exponent rules for different situations, such as multiplying, dividing, raising to another power, or having a negative or fractional exponent. Here is a table of some common exponent rules with examples:

| Rule | Example |

[tex]| x^1 = x | 6^1 = 6 |[/tex]

[tex]| x^0 = 1 | 7^0 = 1 |[/tex]

[tex]| x^-1 = 1/x | 4^-1 = 1/4 |[/tex]

[tex]| x^m * x^n = x^(m+n) | 2^3 * 2^4 = 2^(3+4) = 2^7 |[/tex]

[tex]| x^m / x^n = x^(m-n) | 2^5 / 2^3 = 2^(5-3) = 2^2 |[/tex]

[tex]| (x^m)^n = x^(mn) | (2^3)^2 = 2^(3*2) = 2^6 |[/tex]

[tex]| (xy)^n = x^n * y^n | (3*4)^2 = 3^2 * 4^2 |[/tex]

[tex]| (x/y)^n = x^n / y^n | (4/2)^3 = 4^3 / 2^3 |[/tex]

[tex]| x^(m/n) = n-th root of x^m | 2^(6/3) = cube root of 2^6 |[/tex]

We can use these rules to simplify expressions with exponents or to perform calculations with them.

Therefore, by exponentiation answer will be given.

Learn more about exponentiation here:

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The complete question is;

List all the rules of exponentiation.

Answer:

2 apples

Step-by-step explanation:

These are my 5 apples... οοοοο

If I give 3 of my apples away... οο

You can see that there are 2 apples left.

5 - 3 = 2

Answer:

Your answer is: 3x^2y3√y

Step-by-step explanation:

Look below :  )

Hope this helped : )

Answer:

d=8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

16*9=144

144/6=24

24/3=8

d=8

Answer:

9. Tan(57°)=~9.24 or 231/25

10. Sin(31°)= ~9.79 or ... 979/100

11. Sin(x°)= 15/23

12. Tan(x°)=37/8

Step-by-step explanation:

9. For the side length, we must use the given angle and the given side. We want to find the opposite given the adjacent side length of 6. We multiply tan(57°) by 6 using a scientific or graphing calculator and we get the answer  9.24 (after rounding) and then convert to a fraction in simplest form since it asked for a fraction. We would get 231/25

10. Just like the last question, we are given the opposite side length but not the hypotenuse. For this, we use sin. Multiply sin(31°) by 19 and we will getb 9.79 after rounding. Convert this into a fraction and we get 979/100 as the simplest form.

11. For this question we have 2 sides but not the angle. For this, we must use the SOH CAH TOA rule and just connect the pieces. We have the opposite and the hypotenuse or OH which means we have S which is sin. We then write Sin(x°)=15/23

12. For this we have the adjacent and opposite which is OA and that leaves us with T which is Tan(x°)=37/8. Remember that opposite comes before adjacent which is why it isn't 8/37. Hope this helps! (btw I'm not a bot)

Answer:

80.75

Step-by-step explanation:

If the runner travels 8 miles in 2 hours then the speed of the runner is 4 miles per hour.

The runner traveled 8 miles in 2 hours.

To find the runner's speed, we can use the formula:

Speed (in miles per hour) = Distance / Time

In this case, the distance is 8 miles and the time is 2 hours:

Speed = 8 miles / 2 hours

= 4 miles per hour

So, the runner's speed is 4 miles per hour which means that the runner covers a distance of 4 miles for every hour they run.

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Answer: the greatist value is 30,000

Step-by-step explanation:

Answer:

11 hours

Step-by-step explanation:

Step-by-step explanation:

If the domain doesn't have 1 or 4 in it. This means 1 and 4 are the zeroes of the denomiator of the rational function.

So

[tex](x - 1)(x - 4)[/tex]

[tex]( {x}^{2} - 5x + 4)[/tex]

So that is the denomiator.

The numerator passes through (-3,3).

Let A represent a posible value of the numerator.

[tex]y = \frac{a}{( {x}^{2} - 5x + 4) } [/tex]

Plug in -3 for x and 3 for y.

[tex]3 = \frac{a}{ - 3 {}^{2} - 5( - 3) + 4 } [/tex]

[tex]3 = \frac{a}{9 + 15 + 4} [/tex]

[tex]3 = \frac{a}{28} [/tex]

[tex]84 = a[/tex]

So one possible function is

[tex]y = \frac{84}{ {x}^{2} - 5x + 4 } [/tex]

Answer:

(4) x+12=5x-2

Step-by-step explanation:

Substitute x=4 in all the options to check equality

Answer:

Your answer is: 4) x+12=5x-2

Step-by-step explanation:

Hope this helped : 0

we have to work money every day

Answer:

  less

Step-by-step explanation:

We can answer the question about relative sizes of a square and a circle by finding the area of each.

__

The area of the square is ...

  A = s²

  A = (2 in)² = 4 in²

The area of the circle is ...

  A = πr²

  A = π(1.2 in)² = 1.44π in² ≈ 4.524 in²

The area of the square is less than the area of the circle.

_____

Additional comment

The area of a circle is π/4 times the area of the square in which it is inscribed. If the diameter of the circle is 1.2 times the side length of the square, its area ratio to the square will be (1.2²)(π/4) = 0.36π ≈ 1.13. That is, the circle is larger and the square is smaller.

By using the first two points on the graph, we conclude that exponential equation is:

y = 200*(0.4)^t

We assume that the equation is an exponential decay of the form:

y = A*(r)^t

When t = 0 we have:

y = A

On the graph we can see that the initial value is 200, then A = 200, so we have:

y = 200*(r)^t

By looking at the graph we can see that:

80 = 200*(r)^1    (this is the second point graphed).

Solving for r we get:

80 = 200*(r)

80/200 = r = 0.4

Then the exponential equation is:

y = 200*(0.4)^t

If you want to learn more about exponential equations, you can read:

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Answer:

no

Step-by-step explanation:

Answer:

13 hours

Step-by-step explanation:

to drive 567 miles in 9 hours you would be going 63mph and it would take 13 hours at 63 mph to travel 819 miles.

Answer:

the aswer is 20

Step-by-step explanation:

2x2=4x5=20

i hope this helps anyone and everyone

Answer:

10/20 or 1/2

Step-by-step explanation:

There are 10 pink balls out of 20. (add all the numbers together)

So that means there is a 10/20 chance to get a pink ball.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

So, the probability is the number of favored outcomes/ number of possible outcomes.

In this case, the favored outcomes is pink, which is 10.

The number of possible outcomes is 2+1+10+2+5 = 20

This gives us 10/20, which is 1/2 when simplified

Answer:

  2.5

Step-by-step explanation:

The relative volumes of the two similar boxes will be related by the cube of the dilation factor. That means the dilation factor (d) satisfies ...

  1.2d³ = 18.75

  d³ = 15.625 . . . . . divide by 1.2

  d = 2.5 . . . . . . . . take the cube root

The scale factor the company needs to use is 2.5.

Answer:

Only one triangle is possible.

Step-by-step explanation:

Triangle inequality says that if sum of any two sides of the traingle is greater than the third side, then the triangle is possible.

Here,

,

Therefore, a triangle is possible with the given measurements,

Let us assume there is another triangle with same measurement with same measurements 7 cm, 6 cm, and 9 cm.,

By SSS congruency criteria both the triangles will be congruent.

Thus, all triangles with same measurement will be congruent to each other.

Hence, only one triangle is possible.

Answer:

B and C

Step-by-step explanation:

area of square= 81

L^2= 81

L=√81

L=9ft

Answer:

N 12

Step-by-step explanation:

Answer:

someone else had same question before you did https://brainly.com/question/11677565Step-by-step explanation:

Answer:

47+ y = 180          (linear pair)

y = 133

Answer:

area= 22cm× 14cm= 308cm²

please mark it as brainlist answer

Step-by-step explanation: