Unit 8 Review

The expression  $\left(x^2\right)\left(x^{-10}\right)$  is equivalent to  $x^n.$  What is the value of  $n?$  

Which expression equivalent to  $\left(121x^4y^{16}\right)^{\frac{1}{2}}?$  

•  $60.5x^2y^4$  

•  $60.5x^2y^8$  

•  $11x^2y^8$  

•  $11x^2y^4$  

Which expression equivalent to  $\frac{\left(q^4\right)^{-5}}{q^{-25}}$   for all values of  $q$  where the expression is defined?

•  $q^5$  

•  $\frac{1}{q^5}$  

•  $q^{45}$  

•  $\frac{1}{q^{45}}$  

Which expression is equivalent to  $\frac{12q^7w^8}{2w^3}\cdot\frac{3\left(q^4\right)^2}{w^{-6}}$  for all values of  $q$  and  $w$  where the  expression is defined?

•  $36q^{15}w^{11}$  

•  $18q^{15}w^{11}$  

•  $18q^{23}w^{11}$  

•  $34q^{15}w^{11}$  

Which expression is equivalent to  $\frac{50m^{-4}p^3v^9}{10m^{-2}p^5v^{-6}}$  for all values of  $m,\ p,\$ and  $v$  where the expression is defined?

•  $\frac{40v^{15}}{m^2p^2}$  

•  $\frac{5v^3}{m^6p^2}$  

•  $\frac{5v^{15}}{m^2p^2}$  

•  $\frac{40v^3}{m^6p^2}$  

The expression $\left(x^{25}\right)\left(x^{10}\right)^3$  is equivalent to  $x^p.$    

What is the value of  $p?$