Unit 6 Test Review

Which of the following is equivalent to the following expression. Select TWO choices.

 $3^4\cdot3^{-7}$  

•  $3^3$ 

•  $3^{-28}$  

•  $\frac{1}{3^3}$  

•  $\frac{1}{27}$  

•  $\frac{1}{9}$  

Which of the following is equivalent to the following expression? Select TWO choices.

 $x^{-6}\cdot x^2$  

•  $x^{-4}$  

•  $x^{-12}$  

•  $\frac{1}{x^4}$  

•  $\frac{1}{x^{12}}$  

Which of the following is equivalent to the following expression?

 $\left(\frac{x^{-3}}{x^{-1}}\right)^{-2}$  

•  $x^4$ 

•  $\frac{1}{x}$ 

•  $x^2$ 

•  $x^5$  

Which of the following equations are FALSE? Select TWO choices.

• $\left(x^{-4}\cdot x^3\right)^{-4}=\frac{1}{x^4}$

• $3\left(b^{-2}\cdot b^3\right)^2=3b^2$

• $\frac{10x^3}{5x^5}=\frac{2}{x^3}$

• $\frac{6x^2}{3x}=\frac{2}{x}$

Simplify the expression
 $2^{-3}\cdot2^4$  

• 2

•  $\frac{1}{2}$  

•  $2^7$ 

•  $2^{12}$  

Simplify the expression

 $2^3\cdot2^{-4}$  

• 2

•  $\frac{1}{2}$  

•  $2^7$ 

•  $2^{12}$  

Simplify the expression

 $2^3\cdot2^4$  

• 2

•  $\frac{1}{2}$ 

•  $2^7$ 

•  $2^{12}$  

Simplify the expression
 $4x^{-2}\cdot3x^3$  

• 12x

•  $4x^4$  

•  $\frac{x^2}{3}$ 

•  $4x^7$ 

Simplify the expression
 $\left(2x^3\cdot1x^{-1}\right)^2$  

• 12x

•  $4x^4$ 

•  $\frac{x^2}{3}$  

•  $4x^7$  

Simplify the expression
 $\frac{x^3\cdot x^1}{3x^2}$  

• 12x

•  $4x^4$  

•  $\frac{x^2}{3}$  

•  $4x^7$