Powers of Products and Quotients

 $a^{-3}$  

•  $\frac{1}{a^3}$  

•  $\frac{1}{a^{-3}}$  

• 3a

•  $\frac{a}{3}$  

 $\frac{a^{-2}}{b^{-3}}$  

•  $\frac{b^3}{a^2}$  

•  $\frac{1}{a^2b^3}$  

•  $\frac{3b}{2a}$  

 $\left(\frac{a}{b}\right)^{-1}$  

•  $\frac{a^1}{b^1}$  

•  $\frac{b}{a}$  

•  $ab^{\left(-1+1\right)}$  

Simplify the following:
 $\left(r^7s^3\right)^3$  

•  $r^7s^9$  

•  $r^{21}s^9$  

•  $r^{21}s^3$  

Simplify the following:
 $\left(abc^5\right)^5$ 

•  $a^5b^5c^{25}$ 

•  $a^5b^5c^5$ 

•  $abc^{25}$ 

Simplify the following:
 $\left(x^2y^4m^3\right)^8$  

•  $x^{10}y^{12}m^{11}$  

•  $x^6y^{-4}m^{-5}$  

•  $x^{16}y^{32}m^{24}$  

Which of the following is the correct way to simplify this expression?
 $\left(\frac{a^m}{b^n}\right)^p$  

•  $\frac{a^{m\cdot p}}{b^{n\cdot p}}$  
  

•  $\frac{a^m+a^p}{b^n+b^p}$  

•  $a^{m\cdot p}\ b^{n\cdot p}$  
  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify the following:
 $\left(\frac{x^2}{y^3}\right)^4$  

•  $\frac{x^8}{y^{12}}$  

•  $\frac{x^6}{y^7}$  

•  $x^8y^{12}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the following:
 $\left(\frac{3x^3}{5y}\right)^2$  

•  $\frac{9x^6}{25y^2}$  

•  $\frac{9x^3}{25y}$  

•  $\frac{9x^6}{5y}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7



 $\left(x^{-2^{ }}y^3\right)^{-3}$  

•  $\frac{x^6}{y^9}$  

•  $x^6y^9$  

•  $x^{-5}y^0$  

•  $\frac{1}{x^6y^9}$