Powers, Roots, and Radicals

Simplify:  $9^{-\frac{3}{2}}$  

•  $\frac{1}{3}$  

• 3

•  $\frac{1}{27}$  

• 27

Tags

CCSS.HSN.RN.A.2

 $\left(81x^8\right)^{\frac{1}{4}}$  

• 3

• 3x

•  $3x^2$  

•  $81x^2$  

Simplify: 

•  $27xy^2z^3$  

•  $3xy^2z^3$  

•  $3x^9y^{18}z^{27}$  

•  $3x^6y^9z^{12}$  

Simplify:

• $\frac{b}{2a^{10}}$

• $\frac{2b}{a^{10}}$

• $\frac{b}{a^{10}}$

• $\frac{1}{2a^{10}b}$

Tags

CCSS.HSA.APR.A.1

Simplify:

• $\frac{32y^{13}}{81x^7}$

• $\frac{25}{18xy^7}$

• $\frac{25x^7}{18y^7}$

• $\frac{32x^7}{81y^7}$

Tags

CCSS.HSN.RN.A.2

Solve the following equation: $3\left(x+2\right)^3=81$  

• 11

• 7

• 5

• 1

Tags

CCSS.8.EE.A.2

Solve the following equation for x. $\left(x+4\right)^2=16$  

• 0, -8

• 4

• 0, 8

• -4

Tags

CCSS.8.EE.A.2

Solve: $3\left(x+1\right)^{\frac{1}{5}}+5=11$  

• 15

• 31

• 33

• 9

Find the inverse of the function $g\left(x\right)=x^2-4$  

•  $g^{-1}\left(x\right)=\frac{1}{x^2-4}$  

•  $g^{-1}\left(x\right)=\sqrt{x-4}$  

•  $g^{-1}\left(x\right)=\sqrt{x}+2$  

•  $g^{-1}\left(x\right)=\sqrt{x+4}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the function: $f\left(x\right)=\sqrt{x-7}$  

•  $f^{-1}\left(x\right)=x^2-7$  

•  $f^{-1}\left(x\right)=\sqrt{x-4}$  

•  $f^{-1}\left(x\right)=x^2+7$  

•  $f^{-1}\left(x\right)=\sqrt{x+4}$  

Tags

CCSS.HSF-BF.B.4A