Exponent Rules

Simplify $\left(3^2\times4^2\right)^5$ .  Write your answer in exponential notation.

Simplify $9^{-8}\times\frac{1}{9^3}$ . Write your answer with a positive exponent.

Which expression is equivalent to $\frac{45^{-3}}{45^3}$ ?

•  $45^{-1}$  

•  $45^0$  

•  $\frac{1}{45^6}$  

•  $45^6$  

 $\left(-4^{-5}\right)^0$  Which expression is equivalent to

• 1

•  $\left(-4\right)^5$  

•  $\frac{1}{\left(-4\right)^5}$  

•  $\frac{1^5}{-4}$  

Which expression is equivalent to $\frac{\left(7^2\right)^5}{7^{-6}}$ 

• 7

•  $7^4$  

•  $7^{13}$  

•  $7^{16}$  

Write $16^8$ as a power with a base of 4.

Which of the equations below is false?

• $\frac{5^2}{5^3}=\frac{1}{5}$

• $\left(6^3\right)^4=\left(6^4\right)^3$

• $\frac{3^2}{3^7}=3^2\times3^{-7}$

• $\frac{4^{10}}{4^5}=4^2$

Simplify $z^0$  

Rewrite $m^{-5}$ with positive exponent 

Which expression is equivalent to $\left(a^3\right)^4$ 

•  $a^7$  

•  $a^{12}$  

•  $a^{-1}$  

•  $a^{81}$