Multiplying Exponents with the Same Base

Basics

100

What is an exponent?

a small number written above and to the right of a base number that tells you how many times to multiply the base by itself

200

True or False - exponents act as shorthand for repeated multiplication

True

300

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 these read? 3² and 5³ 

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) x (five cubed)?

five raised to the fifth power or 5⁵

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

Does changing the order of the base and exponent changes the result? 

Example: 2⁵ 5²

Yes - 2⁵ (32) 5² (25)

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