Laws of Exponents

Simplify:  $8\left(x^4\right)^{\frac{1}{2}}$  

•  $4x^2$  

•  $8x^2$  

•  $4x^4$  

•  $8x^4$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Which expression is equivalent to  $\frac{x^2y^2z^2}{4y^4}$  ?

•  $4y^6$  

•  $y^6$  

•  $\frac{x^2z^2}{4y^2}$  

•  $4x^2y^6z^2$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The area of a rectangle is  $72r^5s^2t^7$  square units. If the length if the rectangle is  $3r^2t^4$  units, what is therectangle's width?

•  $69r^2s^2t^2$  

•  $14r^3st$  

•  $36r^2t^4$  

•  $24r^3s^2t^3$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

Simplify: $4x^5\cdot6x^{10}$  

•  $24x^{15}$  

•  $10x^{15}$  

•  $\sqrt{24x^{15}}$  

•  $\sqrt{10x^{15}}$  

Tags

CCSS.HSA.APR.A.1

Which expression represents the product of  $\left(2x^2y^2\right)\left(3x^3y^3\right)$ ?

•  $6x^6y^6$  

•  $5x^5y^5$  

•  $5x^6y^6$  

•  $6x^5y^5$  

Tags

CCSS.HSA.APR.A.1

Which expression is NOT equivalent to  $3^8$  ?

•  $\left(3^6\right)\left(3^2\right)$  

•  $\left(3^4\right)^2$  

•  $\left(3^4\right)\left(3^4\right)$  

•  $\left(3^4\right)^4$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The area of a rectangle is  $64a^8b^{13}$  square units. If the width if the rectangle is  $16ab^7$  units, what is the length?

•  $8a^8b^6$  

•  $4a^7b^6$  

•  $48a^7b^6$  

•  $1024a^9b^{20}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Which expression represents the product of  $\left(abc\right)\left(3c\right)$ ?

•  $3abc^3$  

•  $3abc^2$  

•  $4abc^3$  

•  $3c^2$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

Simplify:  $\frac{x^2y^5}{x^9y^5}$  

•  $x^2$  

•  $\frac{1}{x^2}$  

•  $\frac{1}{x^7}$  

•  $x^7$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify:  $\left(s^2r^{-4}\right)\left(s^6r^{-2}\right)$  

•  $\frac{s^8}{r^6}$  

•  $\frac{s^{15}}{r^8}$  

•  $r^6s^8$  

•  $r^7s^{13}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2