Properties of Exponents

When multiplying, if the bases are the same ______ the exponents.

• Subtract

• Multiply

• Add

• Subtract

When dividing and the bases are the same __________ the exponents.

• Multiply

• Divide

• Add

• Subtract

When raising a power to a power, ____________ the exponents.

• Multiply

• Divide

• Add

• Subtract

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

n²⋅n⁴⋅n⁵

• n¹¹
• n⁴⁰
• n¹³
• n²²

Fill in the blank with the correct exponent to make the statement true.
3^{16 =} (3⁸)(3^_)

• 2
• 8
• 4
• 1

Which is equivalent to 5 x 5 x 5 x 5

• 5³
• 5⁴
• 4⁵
• 5⁵

Simplify the expression:

 $\left(x^8\right)\left(x^{-5}\right)$  

•  $x^{-40}$  

•  $x^{-13}$  

•  $x^{13}$  

•  $x^3$  
  

Simplify the expression:

 $\left(5x^{11}\right)^2$  

• $25x^{22}$

• $10x^{22}$

• $25x^{13}$

•  $10x^{13}$ 

Simplify the expression:

 $\left(k^2\right)^5$  

•  $k^7$  

•  $k^3$  
  

•  $k^{32}$  
  

•  $k^{10}$