Unit 6 Homework 2: Powers of Monomials

Simplify the following monomial:  $\left(x^4\right)^2$  

•  $x^2$  

•  $x^6$  

•  $x^8$  

 $\left(m^2n^7\right)^3$  Simplify the following monomial:

•  $m^6n^{21}$  

•  $m^{21}n^6$  

•  $m^{-1}n^4$  

Simplify the following monomial:  $\left(2w^3\right)^6$  

•  $64w^{18}$  

•  $12w^9$  

•  $6w^6$  

 $\left(-4x^2\right)^2$  Simplify the following monomial:

•  $16x^4$  

•  $-8x^2$  

•  $-4x^4$  

Simplify the following monomial:  $\left(-5y^3\right)^3$  

•  $-125y^9$  

•  $-15y^3$  

•  $-5y^6$  

 Simplify the following monomial:   $\left(\frac{1}{2}x^4\right)^7$  

•  $\frac{1}{128}x^{28}$  

•  $2x^7$  

•  $\frac{1}{14}x^{28}$  

Simplify the following monomial:  $\frac{1}{2}\left(4k^5\right)^2$  

•  $8k^{10}$  

•  $16k^{10}$  

•  $8k^5$  

 $\left(m^5n^3\right)^7\times m^2n$  Simplify the following monomial:

•  $m^{37}n^{22}$  

•  $m^{70}n^{21}$  

•  $m^{35}n23$  

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

•  $8x^{17}y^6z^{10}$  

•  $8x^{15}z^{10}$  

•  $8x^{17}z^{10}$  

 $\left(-4mn\right)^3\times\left(-2m^2\right)^3$  Simplify the following monomial:

•  $512m^9n^3$  

•  $-512m^9n^3$  

•  $-72m^9n^3$