Numeric Expressions with Exponents

Numeric Expressions with Exponents

Multiple Choice

Which best describes the 1st step in evaluating the expression

 $4\cdot\frac{53+1}{\left(8-5\right)^3}$  

• simplify  $5^3$  

• multiply 4 x 53

• subtract 8-5

• add 53+1

Objective

• Write numerical expressions involving whole-number exponents

• Evaluate numerical expressions involving whole-number exponents

Vocabulary

• Base: the number that

• 
  

Vocabulary

Base: the number that is multiplied by itself when raised to a certain power

Exponent: a number that dhows how many time a base is used as a factor

Exponential expression: expressions written with exponents

Fill in the Blank

What is the Base in this example?

 $5^3$  

Fill in the Blank

What is the exponent in the example?

 $4^2$  

Multiple Choice

Which expression is equivalents to

 $6^3$  ?

• 6x3

• 6x6x6

• 3x3x3x3x3x3

• 18

Multiple Choice

How would you write

 $4^5$ as a multiplication problem? 

• 4x4x4x4x4

• 5x5x5x5

• 5x4

• 4x5

Open Ended

Is  $2^7$ equivalent to 2x7? Why or why not?  

Multiple Choice

Which student wrote "6 plus 4 cubed" correctly?

• Michael

• Morgan

• Keegan

• No answers are correct

Multiple Choice

What's the first step to evaluating Michael's answer? $(6+4)^3$  

• 6+4

•  $4^3$  

Multiple Choice

Evaluate Michael's answer $\left(6+4\right)^3$  

• 30

• 100

• 1000

• 70

Multiple Choice

Evaluate Morgan's answer $6^3+4^3$  

• 280

• 30

• 1000

• 16

Multiple Choice

Evaluate Keegan's answer  $6+4^3$  

• 18

• 70

• 1000

• 643

Multiple Choice

Where any of their answers equivalent?

• Yes

• No

Multiple Choice

Which best describes the first step to solving the expression?

 $4\cdot\frac{53+1}{\left(8-5\right)^3}$  

• simplify  $5^3$  

• multiply  $4\cdot53$  

• subtract 8 - 5

• add 53 + 1

Multiple Choice

Evaluate $3+5^2\cdot4$  

• 43

• 103

• 64

• 102

Multiple Choice

What is the value of

 $6\div3\times2^3$  

•  $\frac{2}{8}$  

•  $\frac{3}{8}$  

• 16

• 64

Multiple Choice

What is the value of

 $\left(\frac{1}{4}\right)^3$  

•  $\frac{3}{4}$  

•  $\frac{1}{12}$  

•  $\frac{3}{12}$  

•  $\frac{1}{64}$  

Fill in the Blank

Evaluate $\frac{6^2}{3}$