Exponents Review

Exponents Review

8.1 Exponents

- The base is the number that is being multiplied

- The exponent tells you how many times to multiply the base by itself

Multiple Choice

What is 9⁴ in expanded form?

• 9 x 9 x 9 x 9

• 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4

8.2 Product of Power Property

To multiply powers with the SAME base, ADD their exponents!

Multiple Choice

8⁴ x 8⁶

• 8²

• 8²⁴

• 8¹⁰

8.2 Power of a Power Property

To find a power of a power, multiply the exponents

Multiple Choice

(12²)⁸

• 12¹⁰

• 12¹⁶

• 12⁶

8.2 Power of a Product Property

To find a power of a product, find the power of each factor and multiply!

*Think Distributive Property

Multiple Choice

(5 x 3)²

• 30

• 225

• 90

8.3 Quotient of Powers Property

To divide powers with the same base, subtract their exponents

Multiple Choice

 $\frac{6^7}{6^4}$  

•  $6^3$  

•  $6^{11}$  

•  $6^{28}$  

8.4

Zero Exponents : any nonzero number to the 0 power is equal to 1

0⁰ is undefined

Multiple Choice

 $\frac{\left(10\right)^4}{\left(10\right)^4}$  * Use Quotient Rule first

• 1

• 0

•  $10^8$  

8.4 Negative Exponents

For any negative exponent, turn the expression into a fraction with the numerator as 1 and denominator as the number to make the exponent positive.

Multiple Choice

2^-4

• $2^4$

• $\frac{1}{16}$

• -16

Multiple Choice

 $\frac{5^5}{5^8}$  

1. Quotient Rule

2. Negative Rule

•  $5^{-3}$  

•  $\frac{1}{125}$  

•  $5^3$