Simplifying Monomials Practice

Simplify the following:

 $3x\cdot4x^2y^3$  

•  $7x^3y^3$  

•  $12x^3y^3$  

•  $12x^2y^3$  

•  $7x^2y^3$  

Simplify the following:

 $\left(4x^{-3}\right)^{-2}$  

•  $\frac{1}{16x^5}$  

•  $-16x^6$  

•  $-8x^6$  

•  $\frac{x^6}{16}$  

Simplify the following:

 $\frac{3a^{-1}b^{-3}}{a^{-3}b^3}$  

•  $\frac{3a^2}{b^6}$  

•  $3a^4$  

•  $\frac{3}{a^4}$  

•  $\frac{3b^6}{a^2}$  

Simplify the following:

 $yx^2\cdot\left(xy^0\right)^{-4}$  

•  $\frac{1}{x^2y^3}$  

•  $yx^2$  

•  $\frac{y}{x^2}$  

•  $\frac{y}{x^3}$  

Simplify the following:

 $\frac{3y^4}{2x^2y^2\cdot4xy^4}$  

•  $\frac{1}{5x^3y^2}$  

•  $\frac{3}{8x^3y^2}$  

•  $\frac{3y^{10}}{8x^3}$  

•  $\frac{y^{10}}{5x^3}$  

Simplify the following:

 $\frac{2x^{-2}y^4}{\left(x^3\right)^{-1}}$  

•  $2y^4x$  

•  $2y^4$  

•  $\frac{2y^4}{x^4}$  

•  $\frac{x^4}{y^2}$  

Simplify the following:

 $\frac{\left(2n^2\cdot m^2n^2\right)^4}{m^3n^3}$  

•  $16m^3n^5$  

•  $16m^{11}n^{19}$  

•  $8m^5n^{13}$  

•  $16n^{13}m^5$  

Simplify the following:

 $\frac{mn^{-4}\cdot2m^{-2}n^2}{\left(m^4n^3\right)^2}$  

•  $2m^7n^4$  

•  $\frac{2}{n^8m^9}$  

•  $2n^8m^9$  

•  $\frac{2}{m^7n^7}$  

Simplify the following:

 $xy^{-1}\cdot4yx^3$  

•  $16x^4$  

•  $\frac{4x^3}{y^2}$  

•  $4x^4$  

•  $64x^4y^3$  

Simplify the following:

 $\left(u^{-3}v^4\right)^2$  

•  $\frac{v^6}{u}$  

•  $u^{-6}v^8$  

•  $u^3$  

•  $\frac{v^8}{u^6}$