Power to a Power

Simplify the following:

 $\left(pq^2r^2\right)^3$  

•  $q^3p^9$  

•  $-\frac{64}{r^3}$  

•  $p^3q^6r^6$  

•  $64p^3$  

Tags

CCSS.HSA.APR.A.1

Simplify the following:

 $\left(-4x^2\right)^2$  

•  $16x^4$  

•  $\frac{16x^8}{z^8}$  

•  $\frac{z^3}{x^6y^{12}}$  

• 81

Tags

CCSS.HSA.APR.A.1

Simplify the following:

 $\left(3hjk^4\right)^2$  

•  $8h^3$  

•  $16j^2h^4$  

•  $256h^{16}j^8$  

•  $9h^2j^2k^8$  

Tags

CCSS.HSA.APR.A.1

Simplify the following:

 $\frac{a^2b^4c^3\times-a^3b^2c^3}{\left(b^4\right)^3}$  

•  $\frac{1}{a^8b^2c^2}$  

•  $-\frac{a^5c^6}{b^6}$  

•  $-\frac{1}{b^3a^4}$  

•  $-\frac{4a^9}{c^2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify the following:

 $\left(m^3p^4q^4\right)^3$  

•  $\frac{9}{m^6q^8}$  

•  $\frac{1}{16q^2p^8}$  

•  $-mp^2$  

•  $m^9p^{12}q^{12}$  

Tags

CCSS.HSA.APR.A.1

Simplify the following:

 $\left(-2nm^3p^4\right)^4$  

•  $\frac{1}{9m^4}$  

•  $16n^4m^{12}p^{16}$  

• 1

•  $\frac{1}{p^2n^8}$  

Tags

CCSS.HSA.APR.A.1

Simplify the following:

 $\left(4pq^2r^4\right)^4$  

•  $-\frac{1}{27p^{12}}$  

•  $\frac{p^{12}q^{12}}{81r^4}$  

•  $64p^6q^6$  

•  $256p^4q^8r^{16}$  

Tags

CCSS.HSA.APR.A.1

 $\frac{2p^4q^2r^3\times p^2q^4}{\left(-2p^2q^4\right)^2}$  

Simplify the following:

•  $-\frac{1}{16p^9q^{11}r^{10}}$  

•  $\frac{p^2r^3}{2q^2}$  

•  $\frac{16}{p^{16}q^{16}}$  

•  $\frac{256q^8r^{24}}{p^4}$  

Tags

CCSS.HSA.APR.A.1

Simplify the following:

 $-\frac{x^3\times yzx^2}{\left(-2x^2z^2\right)^3}$  

•  $\frac{y}{8xz^5}$  

•  $\frac{1}{8y^2x^9z^5}$  

•  $-\frac{2y^7x^{21}}{z}$  

•  $-\frac{16y^9z^{16}}{x^2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify the following:

 $\frac{\left(-zy^2\right)^4}{\left(y^2z^4\right)^3\times zx^4y^3}$  

•  $-\frac{2y^5z^5}{x^4}$  

•  $\frac{x^8}{z^4y^8}$  

•  $\frac{1}{yz^9x^4}$  

•  $\frac{x^6y^3}{2}$  

Tags

CCSS.HSA.APR.A.1