Negative Exponent Rule

Simplify

x⁻⁶

• $\frac{1}{x^6}$

• x⁶

• -x⁶

• $\frac{-1}{x^6}$

Tags

CCSS.HSN.RN.A.2

Rewrite using a positive exponent.

g^-7

• $\frac{1}{g^7}$

• $g^7$
  

• $\frac{1}{g^{-7}}$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

Rewrite using a positive exponent.

2w^-13

• -w¹³

• $\frac{2}{w^{13}}$

  
  

• $\frac{2}{w^{-13}}$

• $2w^{13}$

Tags

CCSS.HSN.RN.A.2

Simplify

• $\frac{7a^5}{b^3}$

  
  

• $\frac{b^3}{7a^5}$

• $\frac{7b^3}{a^{-5}}$

• $\frac{7b^3}{a^5}$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Write with positive exponents:

• a^-2

• a²

• $\frac{1}{a^2}$

  
  

Tags

CCSS.HSN.RN.A.2

Simplify the expression so that it contains only positive exponents.

• $\frac{1}{3x^3}$

• $\frac{3}{x^3}$

• $\frac{1}{-3x^3}$
  

Tags

CCSS.HSN.RN.A.2

Simplify the expression so that it contains only positive exponents.

• 
• 
• 
• 

Tags

CCSS.HSA.APR.A.1

Simplify the expression so that it contains only positive exponents.

• 
• 
• 
• 

Tags

CCSS.HSA.APR.A.1

Simplify. Hint: do product rule first, then negative rule!

• $42x^5$

  
  

• $\frac{42}{x^5}$

• $\frac{42}{x^{-5}}$

• $\frac{1}{42x^5}$

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

CCSS.HSN.RN.A.1

 $m^{-5}\times\ m^{-2}$  Simplify. Hint: Use product rule first, then negative rule!

•  $m^{-3}$  
  

•  $m^7$  
  

•  $\frac{1}{m^7}$  
  

•  $\frac{1}{m^3}$  
  

Tags

CCSS.HSN.RN.A.2