Quotient Property of Exponents

Simplify $\frac{x^3}{x^5}$  .

•  $\frac{1}{x^8}$  

•  $x^2$  

•  $\frac{1}{x^2}$  

•  $x^8$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

When simplifying  $\frac{x^5}{x^2}$  what operation do you perform with the exponents?

• Addition

• Subtraction

• Multiplication

• Division

Tags

CCSS.HSA.APR.A.1

Simplify  $\frac{a^3b}{a^6b^2}$  .

•  $\frac{1}{a^3b}$  

•  $a^3b$  

•  $a^9b^3$  

•  $\frac{1}{a^9b^3}$  

Tags

CCSS.HSA.APR.A.1

Simplify  $\frac{10x^4}{15x^2}$  .

•  $\frac{x^2}{5}$  

•  $5x^2$  

•  $\frac{2x^4}{3}$  

•  $\frac{2x^2}{3}$  

Tags

CCSS.HSA.APR.D.6

Simplify  $\frac{-6x^{ }}{-8x^5}$  .

•  $\frac{3}{4x^4}$  

•  $\frac{6}{8x^4}$  

•  $-\frac{3}{4x^4}$  

•  $-\frac{6}{8x^4}$  

Tags

CCSS.HSA.APR.A.1

When simplifying a quotient with the same bases, such as  $\frac{x^5}{x^9}$ or  $\frac{x^5}{x}$   , you subtract the exponents.  

Where will the resulting power go?

• Numerator (top)

• Denominator (bottom)

• Where the bigger exponent is located.

• It doesn't matter.

Tags

CCSS.HSA.APR.A.1

 $\frac{x^3y^{10}}{xy^{10}}$  Simplify

•  $x^2$  

•  $x^2y$  

•  $\frac{x^2}{y}$  

•  $x^4y^{20}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.7

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

Tags

CCSS.8.EE.A.1

• 2a²b⁶
• 1/2a²b⁶
• b⁶/2a²
• 2b⁶/a²

Tags

CCSS.HSA.APR.A.1

• -6c⁵
• -6c
• 6c
• -6c⁶

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.A.1