Working with Exponents

Simplify: $5p^6\cdot4p^3$ 

•  $9p^9$  

•  $9p^{18}$  

•  $20p^9$  

•  $20p^{18}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Simplify: $\frac{2b^{12}}{8b^4}$  

•  $\frac{b^8}{4}$  

•  $\frac{b^3}{4}$  

•  $4b^8$  

•  $4b^3$  

Tags

CCSS.HSA.APR.A.1

Simplify: $-\left(9x\right)^0$  

• 1

• -1

• 0

• -9

Tags

CCSS.6.EE.A.1

Simplify: $\frac{x^3y^6}{xy^2}$  

•  $x^2y^4$  

•  $x^2y^3$  

•  $x^4y^8$  

•  $x^3y^3$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Chris tried to rewrite the expression $\left(4^{-2}\cdot4^{-3}\right)^3$  . The following shows his work:
 $\left(4^{-2}\cdot4^{-3}\right)^3$  
 $\left(4^{-5}\right)^3$  Step 1

 $4^{-2}$  Step 2

 $\frac{1}{16}$  Step 3
Did Chris make a mistake? If so, in which step?

• Chris did not make a mistake.

• Chris made a mistake in Step 1.

• Chris made a mistake in Step 2.

• Chris made a mistake in Step 3.

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

CCSS.6.EE.A.4

Which expression is equivalent to $\frac{a^{-3}}{a^{-1}}$ ? 

•  $\frac{1}{a^4}$  

•  $\left(a^{-2}\right)^2$  

•  $a^3\cdot a^{-1}$  

•  $\frac{a^1}{a^3}$  

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Which expression is equivalent to $2^6\cdot4^{-1}$  ?

•  $\frac{2^2}{2^6}$  

•  $2^6\cdot2^{-4}$  

•  $\left(2^2\right)^2$  

•  $4^{-2}$  

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Simplify the expression $\left(2cd^4\right)^2\cdot\left(cd\right)^5$  

•  $2c^6d^{11}$  

•  $4c^7d^{13}$  

•  $2c^5d^{40}$  

•  $4c^{10}d^{40}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Simplify. Your answer should only contain positive exponents.

 $yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}$  

•  $x^{\frac{4}{3}}y^{\frac{5}{2}}$  

•  $x^{\frac{2}{3}}y^{\frac{1}{2}}$  

•  $x^{\frac{1}{3}}y^{\frac{3}{2}}$  

•  $x^{\frac{2}{3}}y^{\frac{4}{3}}$  

Tags

CCSS.HSN.RN.A.2

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Tags

CCSS.HSA.APR.A.1