Division Property of Exponents

Division Property of Exponents

Multiple Choice

Simplify the following:
 $\left(\frac{h^7}{4}\right)^3$  

•  $\frac{h^{21}}{4^3}$  

•  $64h^{21}$  

•  $\frac{h^{21}}{4}$  

Multiple Choice

Simplify the following:
 $\left(\frac{3x^3}{5y}\right)^2$  

•  $\frac{9x^6}{25y^2}$  

•  $\frac{9x^3}{25y}$  

•  $\frac{9x^6}{5y}$  

Multiple Choice

Simplify the following:
 $\left(\frac{x^2y}{z^3}\right)^5$ 

•  $\frac{x^{10}y^5}{z^{15}}$ 

•  $\frac{x^{10}y}{z^{15}}$ 

•  $\frac{x^{10}y}{z^3}$ 

Multiple Choice

Simplify the following:
 $\left(\frac{x^2}{y^3}\right)^4$  

•  $\frac{x^8}{y^{12}}$  

•  $\frac{x^6}{y^7}$  

•  $x^8y^{12}$  

Multiple Choice

Which of the following is the correct way to simplify this expression?
 $\left(\frac{a^m}{b^n}\right)^p$  

•  $\frac{a^{m\cdot p}}{b^{n\cdot p}}$  
  

•  $\frac{a^m+a^p}{b^n+b^p}$  

•  $a^{m\cdot p}\ b^{n\cdot p}$  
  

Multiple Choice

Simplify  $\frac{10x^4}{15x^2}$  .

•  $\frac{x^2}{5}$  

•  $5x^2$  

•  $\frac{2x^4}{3}$  

•  $\frac{2x^2}{3}$  

Multiple Choice

According to the laws of exponents, when dividing keep the base the same and __________ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

Evaluate the expression using the quotient of powers rule.

• a⁸b¹³

• a²b⁷

• a¹⁵b³⁰

• a⁸b⁷

Multiple Choice

• 0

• x

• 1

• x¹²

Multiple Choice

• 3x^-1y^-5

• 3x²y

• 3xy⁵

• -3x³y⁷

Multiple Choice

• x¹¹

• x¹⁸

• x⁷y

• x⁷

Multiple Choice

• 7

• 14

• 49

• 2

Multiple Choice

• 27

• 3

• 9

• 40

Multiple Choice

Evaluate the expression using the power of a quotient property: ( 2x / 2 )²

• ( 4x / 4 )

• ( 4x² / 4 )

• ( 2x² / 2 )

• 1

Multiple Choice

Evaluate the expression using the power of a quotient property: ( x / y )³

• ( x / y³ )

• ( x³ / y )

• ( x³ / y³ )

• 1

Multiple Choice

• y⁴/9x⁶

• y⁴/9x⁴

• y²/9x⁶

• y⁴/3x⁶

Multiple Choice

 $\frac{18x^{10}y^{12}}{2x^3y^{20}}$  

•  $\frac{9x^7}{y^8}$  

•  $9x^{13}y^{32}$  

•  $\frac{16x^7}{y^8}$  

•  $20x^{13}y^{32}$  

Multiple Choice

Simplify

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

• x⁵y

Multiple Choice

 $\frac{6m^0p^0}{2n^0p^0}=\ ?$  

•  $\frac{6m^0p^0}{2n^0p^0}=\ 0$  

•  $\frac{6m^0p^0}{2n^0p^0}=\ 1$  

•  $\frac{6m^0p^0}{2n^0p^0}=\ 3$  

•  $\frac{6m^0p^0}{2n^0p^0}=\ -3$  

Multiple Choice

• -6c⁵

• -6c

• 6c

• -6c⁶