Exponents Review

According to exponent rules, when we multiply two power with the same base we _________ the exponents.

Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide

According to exponent rules, when we divide powers we  _______ the exponents. 

Example:   $\frac{x^5}{x^3}$  

• add

• subtract

• multiply

• divide

According to exponent rules, when we raise a power to a power we _______ the exponents.

Example:    $\left(x^2\right)^4$  

• add

• subtract

• multiply

• divide

Simplify:  $7^8\cdot7^{-5}$  

•  $7^3=343$  

•  $7^{-40}$  

•  $\frac{1}{7^{40}}$  

•  $\frac{1}{7^3}=\frac{1}{343}$  

Simplify:  $\frac{k^4}{k^8}$  

•  $k^{-4}$  

•  $\frac{1}{k^4}$  

•  $k^4$  

•  $k^{12}$  

( y⁻¹¹ ) ( y⁵ )

• 1 ⁄ y⁶

• y⁶

• -y⁶

• -1 ⁄ y⁶

Simplify the following:
x^-3

• 1/x^-3

• x³

• 1/x

• 1/x³

Simplify: $\frac{x^{-4}}{x^{-8}}$  

•  $x^4$  
  

•  $\frac{1}{x^4}$  

•  $x^{-4}$  

•  $x^{12}$  

(5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

 $\frac{1}{a^{-5}}$  

•  $a^{-5}$  

•  $\frac{a}{5}$  

•  $a^5$  

•  $\frac{5}{a}$