Properties of Exponents

Simplify the expression:

 $\left(5x^{11}\right)^2$  

• $25x^{22}$

• $10x^{22}$

• $25x^{13}$

•  $10x^{13}$ 

Simplify the expression:

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

•  $x^{-40}$  

•  $x^{-13}$  

•  $x^{13}$  

•  $x^3$  
  

Simplify the expression:

 $d^8\cdot d^{10}$   

•  $d^2$  
  

•  $d^{80}$  
  

•  $d^{810}$  

•  $d^{18}$  

Simplify the expression:

 $\left(3x^3y^5\right)^4$  

•  $12x^{12}y^{20}$  

•  $81x^{12}y^{20}$  

•  $12x^{12}y^{20}$  

•  $81x^7y^9$  

Simplify the expression:

 $3x\cdot3x^2\cdot3x^3$  

•  $3x^5$  

•  $27x^5$  

•  $27x^6$  

•  $3x^6$  

Simplify the expression:

 $\frac{x^8}{x^2}$  

•  $x^6$  

•  $x^2$  

•  $x^4$  

•  $4x$  

Simplify the expression:

 $\frac{12x^9y^4z^2}{24x^3y^4z^6}$  

•  $2x^3z^3$  

•  $\frac{x^6}{2z^4}$  

•  $\frac{x^3}{2z^3}$  

•  $\frac{2x^6}{x^4}$  

Simplify.  Your answer should contain only positive exponents.

6^-4

•  $6^4$ 

•  $\frac{1}{6^{4\ }}$

• $\frac{1}{6}$

•  $6^2$  

Simplify. Your answer should contain only positive exponents.

 $17^0$  

Simplify.  Your answer should contain only positive exponents.

 $\frac{4x^2y^4}{6xy}$  

•  $\frac{2xy^3}{3}$  

•  $\frac{3}{2}x^3y^5$  
  

•  $\frac{3xy}{2}$