Negative Exponent Rule

When dealing with a negative exponent, we must create a ________________ in order to simplify to positive numbers.

• decimal

• fraction

• a new math problem

• diagram

Simplify:  $x^{-6}$  

• $\frac{1}{x^6}$

•  $x^6$  
  

•  $-x^6$  
  

• $\frac{-1}{x^6}$

Tags

CCSS.HSN.RN.A.2

Simplify:  $4^{-5}$ 

•  $\frac{1}{4^5}$  

•  $\frac{4^5}{1}$  

•  $4^5$  

•  $\frac{1}{4^{-5}}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify:  $g^{-7}$  

• $\frac{1}{g^7}$

• $g^7$
  

• $\frac{1}{g^{-7}}$

Tags

CCSS.HSN.RN.A.2

Simplify:  $7^{-2}$  

•  $7^{14}$  

•  $\frac{1}{7}$  

•  $-7^2$  

•  $\frac{1}{7^2}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Which of the following show what should be done with the exponents to simplify: $\frac{5^{-4}}{5^3}$  

•  $-4+3$  

•  $-4\left(3\right)$  
  

•  $4+3$  

•  $-4-3$  

Simplify: $\frac{8^{-9}}{8^2}$  

•  $8^{-7}$  

•  $8^{18}$  

•  $8^{-11}$  

•  $8^{-9}$  

Simplify:  $\frac{5^{-8}}{5^{-6}}$  

•  $5^{-2}$  

•  $5^{14}$  

•  $5^{48}$  

•  $5$  

Simplify: $\frac{3^{-7}}{3^{-2}}$  

•  $3^5\$  

•  $3^{-9\ }=\frac{1}{3^9}$  

•  $3^{-5}\ =\frac{1}{3^5}$  

•  $3^9$  

Simplify:  $\frac{3^0}{3^{-6}}$  

•  $3^{-6}$  

•  $3^6$  

•  $18$  

•  $9$