Laws of Exponents

Simplify

• 
• 
• 
• 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify:

• x⁵

• 1/x⁵

• x^-5

• x³⁶

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Evaluate this expression using the quotient rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Tags

CCSS.HSA.APR.A.1

• 4⁹
• 4⁴⁴
• 4²¹
• 4¹⁵

Tags

CCSS.8.EE.A.1

• 9a⁸ / 4b²
• 9b² / 4a⁸
• 9a⁴b⁶ / 4
• 9a⁴ / 4b²

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• 25⁶⁰
• 25¹⁷
• 5⁶⁰
• 5¹⁷

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify:

• x⁴/4y³

• x¹²/4y⁹

• x¹²/64y⁹

• x¹²/4y³

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

Simplify the expression.  $-\frac{y^{-4}z^2\cdot y^0z^2}{\left(2z^{-4}\right)^3}$  

•  $-\frac{z^{16}}{8y^4}$  

•  $-y^{24}x^{18}$  

•  $\frac{y^3}{x}$  

•  $\frac{x^4z^6}{4y^7}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the expression.  $-\frac{x^4y^{-4}}{\left(yx^{-3}z^{-4}\cdot-2x^3y^{-1}\right)^{-2}}$  

•  $\frac{yz^6}{x^{12}}$  

•  $-\frac{4x^4}{y^4z^8}$  

•  $-\frac{x^2z^6}{2y}$  

•  $\frac{y^3}{2x^6z^8}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3