Multiplying Exponents with the Same Base

Basics

100

What Is an Exponent?

an exponent is the small number to the upper right hand corner of the base.

200

What does the exponent mean?

it is how many times you write out the base and then multiply it all out

300

If you have (3⁴), what is the base and what is the exponent?

3 = base 4 - exponent

400

What is a variable

A variable is a letter (usually x) that is used to represent an unknown number.

500

How are 3² and 5³ read?

three squared and five cubed

Level 1

100

What are the exponents in the expression: (x)(x)?

They are both 1.

200

What is (x)(x)?

x²

300

What is (five squared)(five cubed)? Give me the verbal not numerical answer.

five raised to the fifth power

400

When you add two exponents, what information does that tell you about the bases?

They are the same!

500

What do we do if we have two different bases? For example, (5²)(6²).

We cant do anything, we have to evaluate each expression independently and multiply them together!

Level 2

100

(4⁴)(4²)

4⁶

200

(8¹⁹)(8¹¹)

8³⁰

300

(6⁴)(6⁰)

6⁴

400

(3^-4)(3⁷)

3³

500

(9^-3)(9³)

1

Level 3

100

(4²)(4¹)

4³ (64)

200

How can I write an exponential function where the answer is equal to the base?

Raise the base to the power 1.

300

(2⁰)(2⁴)(2⁶)

2¹⁰ (1,024)

400

(4³)(4^-5)

1/4²

500

(4⁴)(4²)(4^-2)(4^-3)

4

Trivia!

100

What is any number raised to the zero power? 

1

200

What is six to the power of six? 

46, 656

300

What is seven squared? 

49

400

Does 4² mean 4 x 2 OR 4 x 4?  What is the answer? 

4 x 4 = 16

500

What is nine cubed? 

729