Exponential Rules Practice

Simplify  $\left(2x^2y^3\right)\left(-5x^{-2}y^7\right)$  

•  $-10x^4y^{10}$  

•  $-3x^{-4}y^{21}$  

•  $\frac{-3y^{21}}{x^4}$  

•  $-10y^{10}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify  $\frac{\left(3x\right)^2}{\left(3x\right)^{-3}}$  

•  $3x^5$  

•  $\frac{1}{3x^5}$  

•  $\frac{1}{3x}$  

•  $\left(3x\right)^5$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify $\left(\frac{4x}{2x^5}\right)^3$  

•  $\frac{8}{x^{12}}$  

•  $8x^{12}$  

•  $\frac{32}{x^{12}}$  

•  $32x^4$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify  $\frac{5x^2y^{-3}}{x^{-3}y^4}$  

•  $\frac{5x}{y}$  

•  $\frac{5y}{x}$  

•  $5x^5y^7$  

•  $\frac{5x^5}{y^7}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify  $\left(\frac{2vq^2}{qv^3}\right)^{-2}$  

•  $4q^2v^4$  

•  $\frac{v^4}{4q^2}$  

•  $\frac{4q^2}{v^4}$  

•  $\left(\frac{2q}{v^2}\right)^{-2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify  $\left(2acd\right)^3\left(3acd\right)$  

•  $24a^5c^5d^5$  

•  $24a^4c^4d^4$  

•  $6a^4c^4d^4$  

•  $5a^2c^2d^2$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Simplify  $\frac{\left(kn\right)^{-5}}{vkn}$  

•  $\frac{1}{v^5}$  

•  $\frac{1}{vk^6n^6}$  

•  $\frac{k^4n^4}{v}$  

•  $\frac{1}{v}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify  $\frac{\left(5a^2\right)\left(6p^3\right)}{\left(2a^3\right)\left(5^{-1}p\right)^{-2}}$  

•  $\frac{3p^5}{5a}$  

•  $\frac{3p^5}{a}$  

•  $\frac{15p^5}{a}$  

•  $\frac{75p^2}{a}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify  $\left(x^2y^3\right)^0$  

•  $1$  

•  $0$  

•  $x^0y^0$  

•  $x^2y^0$  

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

Simplify  $\frac{1}{\left(2y^2z\right)^{-3}}$  

•  $\frac{1}{2y^5z^4}$  

•  $2yz^2$  

•  $8y^6z^3$  

•  $\frac{1}{8y^6z^3}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2