7.2 Division Properties of Exponents

• x¹¹

• x¹⁸

• x^-7

• x⁷

Tags

CCSS.HSA.APR.A.1

• 3x^-1y^-5

• 3x²y

• 3xy⁵

• -3x³y⁷

Tags

CCSS.HSA.APR.D.6

Evaluate the expression using the quotient of powers rule.

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰
• a⁸b⁷

Tags

CCSS.HSA.APR.A.1

• 4x⁸
• 9x²
• 4x²
• 9x¹⁵

Tags

CCSS.HSA.APR.A.1

When dividing and the bases are the same __________ the exponents.

• Multiply

• Divide

• Add

• Subtract

 Simplify $\frac{2x^2}{4x^3y^3}$ 

•  $2xy^3$  

•  $\frac{1}{2xy^3}$  

•  $\frac{x}{2y^3}$  

•  $\frac{8}{xy^3}$  

 $\left(\frac{2ab}{a^2b^3}\right)^2$  

Simplify

•  $4a^6b^8$  

•  $\frac{4}{a^2b^3}$  

•  $\frac{2}{a^2b^4}$  

•  $\frac{4}{a^2b^4}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\left(\frac{xy^4}{2x^2y^2}\right)^4$  

Simplify

•  $\frac{y^8}{8x^4}$  

•  $\frac{y^8}{16x^4}$  

•  $\frac{y^2}{16x^4}$  

•  $\frac{y^2}{8x^4}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

Simplify

•  $\frac{4x^7y^3}{3}$  

•  $\frac{4x^7}{3y^3}$  

•  $12x^7y^3$  

•  $4x^{12}y^2$  

 $\frac{\left(2x^5y^5\right)^5}{x^5}$  

Simplify

•  $2x^{20}y^{25}$  

•  $2x^5y^{25}$  

•  $32x^{20}y^{25}$  

•  $32x^5y^{25}$