# Exponent Practice

4x?

(-2x�)�

8x?

-4x�(-2x�)

27x?

(3x�)�

x?

(x�)(x�)

x�

x(x)

x�

-x(-x)(x)

6x?

-2x(x�)(-3x)

-12x�

3x(-4x)

x?

x(x?)

-18x?

3x�(x�)(-6)

x?

(x?)(x�)

12x?

(3x)(4x?)

8x?

(-2x�)(-4x�)

-27x?

(-3x�)�

2000x?

2x�(10x)�

1/x?

x??

3/x�

3x?�

8x�y�

(2xy)�

x�?

x?y?

x�?

8x�

9

a?

a?b��

x?/y�?

2c?

15x?

x��

x?y?

x�?

9x�

a?

a��b?

x?/y�?

4c?

12x?

x��

x?y?

x�?

36x�

a?

a�?b?

exponent

A mathematical notation indicating the number of times a quantity is multiplied by itself.

base

The number that is multiplied by itself

product rule

When multiplying two powers that have the same base, you can add the exponents.

quotient rule

When dividing two powers that have the same base, you can subtract the exponents.

power to a power rule

When you have an exponent raised to another exponent you keep the base and multiply the exponents.

zero power property

Any nonzero number raised to the power of zero equals 1.

Negative Exponents

To make a negative exponent positive do one of the following:
If the negative exponent is in the numerator position, shift the power to the denominator position.
OR
If the negative exponent is in the denominator position, shift the power to the numerator

x� ? x�

x?

(x�)?

x�?

x� ? x?

x?

x� ? x?

x?

(x?)�

x��

(3x)?

81x?

(2xy)?

32x?y?

(4x?y)�

64x�?y�

(-2x�y??)�

-8x?y?�?

(-5x?yz?)�

25x?y�z�?

2?�

4?

1

2?�

1/8

10?

1

5?�

1/5

5?�

1/125

15?�

1/225

10?�

1/100

x??x

x?

(10x?y?)/(-2xy�)

-5x?y�

(24a�b) / (6ab)

4a

5x?/x�

5x�

a?/a?

1