3-6: Expressions with Exponents

 What exponent should go on the 4 to make an expression equivalent to $4^{12}$ 

 $4^{12}=4^8\cdot4^{ }$  

(a)  

Which expressions are equivalent to  $3^{13}$  

•  $\frac{3^{23}}{3^{10}}$  

•  $3^8\cdot3^5$  

•  $3^6\cdot3^7$  

•  $\frac{3^7}{3^6}$  

Compare the following values

 $4^8$   (a)     $\left(4^5\cdot4^2\right)$  

Compare the following values

 $\left(\frac{4}{9}\right)^{11}$   (a)     $\left[\left(\frac{4}{9}\right)^4\right]^2$  

Compare the values

 $4^{-8}$   (a)      $\frac{4^{12}}{4^{22}}$  

Your friend says that $8^3\cdot8^9=8^{27}$  
Please explain what your friend did wrong and explain how to get the right answer.

The stack of bricks weighs $9^4$  pounds. The stack of lumber weighs  $\frac{9^{16}}{3^{20}}$  . Which stack is heavier?

• The lumber is heavier

• The bricks are heavier

• They both weigh the same

What part is used as a factor?

• Power

• Base

• Exponent

• What's a factor?

What is the entire number called, including both parts?

• Power

• Base

• Exponent

• When is this class over?

What number tell us how many times to multiply the factor?

• Power

• Base

• Exponent

• Math is the best!