Exponent Rules

Bases and Exponents

100

Identify the exponent: (-4)⁶

What is 6

200

Identify the base: (-4)⁶

What is -4

300

Identify the base: -2⁵

What is 2

400

Write as a power

-4 * -4 * -4 * -4 * -4

(-4)⁵

500

Write as a power: 

-3*3*3

-(3)³

Simplify

100

Simplify: 5³ * 5²

5⁵

200

(2⁵)/(2²)

2³

300

(4²)/(4³)

4^-1 or 1/4

400

(-2³)³

-2⁹

500

(4⁴)/(4⁴)

1

Zero and Negative Exponents

100

Rewrite with positive exponents: 

6^-4

1/6⁴

200

Rewrite with positive exponents:

7^-7

1/7⁷

300

Rewrite with positive exponents: 

1/(2^-5)

2⁵

400

Rewrite with positive exponents: 

1/(4^-3)

4³

500

Simplify: 

(5⁰)/(5⁶)

1/(5⁶)

This or That

100

Jill claims 3⁴ = 12.  Mason claims 3⁴ = 81.  Who is correct?

Mason

200

Emily claims that (3³)⁴ = 3¹².  Brandon claims that (3³)⁴=3⁷.  Who is correct?

Emily 

300

Is 1/(4²) = 4^-2 ? 

Yes

400

Is 1/(2^-3) = 2^-3

No

500

What is the value of 5³*5²​​​​

3125

Mystery Box

100

Simplify: 2^-2j³k³/2⁵j^-3k⁴

j⁶/2⁷k

200

Simplify: (4x⁵)(6x²y⁶)(xy)

24x⁸y⁷

300

2²(a)^-3(b)³/2^-4(a)^-2(b)⁵

2⁶/ab²

400

(4m²n⁵)³

4³m⁶n¹⁵

500

Mrs. Cortez' first name

What is Adalia