Let's review integer exponents

Let's review rational exponents

I can evaluate expressions with integer exponents.

Multiple Choice

Which one doesn't belong?

• $$2^3=9$$  

• $$9=3^2$$  

• $$2\times2\times2\times2=16$$  

• $$a\times2^0=a$$  

Name the power

• Find the value of each variable that makes the equation true.

• Be prepared to explain your reasoning.

Multiple Choice

$$2^3\times2^5=2^a$$   $$a=?$$  

• $$8$$  

• $$-2$$  

• $$2$$  

• $$15$$  

• $$\frac{3}{5}$$  

Multiple Choice

 $3^b\times3^7=3^{11}$  

 $b=?$  

•  $4$ 

•  $18$ 

•  $77$  

•  $\frac{11}{7}$  

Multiple Choice

 $\frac{4^3}{4^2}=4^c$   $c=?$  

• 1

• 5

• 6

• 9

Multiple Choice

 $\frac{5^8}{5^d}=5^2$  

 $d=?$  

•  $10$  

•  $8d$  

•  $6$  

•  $8+d$  

•  $\frac{8}{d}$  

Multiple Choice

 $6^m\times6^m\times6^m=6^{21}$  
 $m=?$  

•  $18$  

•  $m+3$  

•  $\frac{21}{m}$  

•  $21^6$  

•  $7$  

Multiple Choice

 $\left(7^n\right)^4=7^{20}$  

 $n=?$  

•  $4n$  

•  $n+4$  

•  $16$  

•  $5$  

•  $24$  

Multiple Choice

 $2^4\times3^4=6^n$  

 $n=?$  

• you can't do that

•  $4$  

•  $8$  

•  $5$  

•  $16$  

Multiple Choice

 $5^3\times p^3=50^3$  
 $p=?$  

•  $10$  

•  $5p$  

•  $45$  

•  $55$  

•  $250$  

Get out your calculator or a piece of paper.

Use exponent rules to write each expression as a single power of 2.

Find the value of the expression.

Multiple Choice

What is the value of $5^0$ ?

•  $5$  

•  $0$  

•  $1$  

Multiple Choice

What is the value of $3^{-1}$  ?

•  $\frac{1}{3}$  

•  $2$  

•  $4$  

•  $-3$  

•  $\frac{3}{1}$  

Multiple Choice

What is the value of  $7^{-3}$ 

?

•  $4$  

•  $10$  

•  $-21$  

•  $\frac{1}{21}$  

•  $\frac{1}{343}$  

The Power of Negative Thinking

Find the value of each variable that makes the equation true.

Multiple Choice

 $8^a=1$  

•  $1$  

•  $0$  

•  $-1$  

•  $\frac{1}{8}$  

Multiple Choice

 $9^4\times9^{-6}=9^b$  
 $b=?$  

•  $2$  

•  $10$  

•  $-10$  

•  $-24$  

•  $24$  

Multiple Choice

 $5^{-3}\times2^{-3}=10^d$  
 $d=?$  

•  $-6$  

•  $0$  

•  $9$  

•  $-3$  

•  $-9$  

Lesson Summary

• Exponent rules help us keep track of a base’s repeated factors, or repeated multiplication

• Negative exponents help us keep track of repeated factors that are the reciprocal of the base.  You can also think of this as repeated division.

• We can define a number to the power of 0 to have a value of 1.

• Homework for Lesson 16 is posted on Google Classroom.