Expressions w/ Exponents

Writing & evaluating Expressions with exponents

5.AF.14

​Kendra posts a photo on her facebook account. in the first hour, two friends share the photo. In the second hour, each of those friends have 2 friends who share the photo. The pattern continues. How many people share the photo in the 6th hour?

Try it!

We can use an exponent to represent repeated multiplication as a power. Each hour, the number of people who share the photo increases by a factor of 2.

Try it!

Hour ​	​	​Written as a Power
​1	2​	​
2​	​2	​
3​	​	​
4​	​	​
5​	​	​
6​	​	​

Vocabulary to know

​Base: the number being multiplied

Exponent: represents the number of times the base is a factor

for your consideration

Multiple Choice

Which expression is equivalent to $$7\cdot7\cdot7\cdot3\cdot3?$$

• $$3^7\ \cdot\ 2^3$$

• $$7^{7\ }\cdot\ 3^3$$

• $$7^3\ \cdot\ 3^2$$

• $$21^3\ \cdot\ 6^2$$

Math Response

Evaluate $$n^3$$ when n= $$\frac{2}{3}$$

Type answer here

Correct Answer: \frac{8}{27}

Deg^°

Rad

Fill in the Blank

On the Lucky Five game show, Troy wins $5 if he answers one question correctly. Each time he answers another question correctly without making a mistake, the amount of money is multiplied by 5. Troy answers 6 questions correctly without making a mistake. His winning are represented by the expression $$5^6$$ . How much money does Troy win?