Negative Exponent

Simplify

x⁻⁶

• $\frac{1}{x^6}$

• x⁶

• -x⁶

• $\frac{-1}{x^6}$

Rewrite using a positive exponent.

g^-7

• $\frac{1}{g^7}$

• $g^7$
  

• $\frac{1}{g^{-7}}$

Rewrite using a positive exponent.

2w^-13

• -w¹³

• $\frac{2}{w^{13}}$

  
  

• $\frac{2}{w^{-13}}$

• $2w^{13}$

Simplify

• $\frac{7a^5}{b^3}$

  
  

• $\frac{b^3}{7a^5}$

• $\frac{7b^3}{a^{-5}}$

• $\frac{7b^3}{a^5}$

Simplify the expression so that it contains only positive exponents.

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Simplify the expression so that it contains only positive exponents.

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

• $42x^5$

  
  

• $\frac{42}{x^5}$

• $\frac{42}{x^{-5}}$

• $\frac{1}{42x^5}$

According to exponent rules, when we divide powers we _______ the exponents.

• add
• subtract
• multiply
• divide

Simplify the following:

 $y^3\times\left(x^2y^{-3}\right)^{-3}$  

•  $\frac{y^{12}}{x^6}$  

•  $2x^{12}$  

•  $\frac{4y^6}{x^4}$  

•  $\frac{xy^6}{16}$  

Simplify the following:

 $\left(2b^{-4}\right)\times2a^{-3}$  

•  $\frac{8a^{12}}{b^{15}}$  

•  $\frac{2}{a^4b}$  

•  $b^3$  

•  $\frac{4}{a^3b^4}$