Properties of Exponents

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

• Subtract

• Multiply

• Add

• Subtract

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

• Multiply

• Divide

• Add

• Subtract

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

• Multiply

• Divide

• Add

• Subtract

Simplify the expression:

 $\left(k^2\right)^5$  

•  $k^7$  

•  $k^3$  
  

•  $k^{32}$  
  

•  $k^{10}$  
  

Simplify the expression:

 $d^8\cdot d^{10}$   

•  $d^2$  
  

•  $d^{80}$  
  

•  $d^{810}$  

•  $d^{18}$  

Simplify the expression:

 $\frac{x^8}{x^2}$  

•  $x^6$  

•  $x^2$  

•  $x^4$  

•  $4x$  

Simplify the expression:

 $\frac{a^3}{a^{12}}$  

•  $a^9$  

•  $\frac{1}{a^9}$  

•  $a^4$  

•  $\frac{1}{a^4}$  

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Simplify the expression:

 $k^2\cdot k^5$  

•  $k^{25}$  

•  $k^7$  

•  $k^{10}$  

•  $k^3$  

8⁷ ⁄ 8²

• 8⁵
• 8⁹
• 8¹⁴
• 1⁵