Exponent Rules

Exponents 101

100

4⁷ Identify the base

4

200

6³ Identify the exponent

3

300

2⁴ Find the value

16

400

8⁶ Change to expanded form

8x8x8x8x8x8

500

5x5x5x5x5x5 change to exponent form

What is 5^6

Product Rule

100

10⁵ x 10³= ?

10⁸

200

8⁴ x 8⁵ = ?

8⁹

300

3⁷ x 3⁷ = ?

3¹⁴

400

y⁶ x y³ x y¹⁰ = ?

y¹⁹

500

Explain how to multiply powers.

Keep the base and add the exponents.

Quotient Rule

100

9⁹/9⁵ = ?

9⁴

200

10²⁴/10¹⁷ = ?

10⁷

300

6⁸/6² = ?

6⁶

400

n¹³/n⁵ = ?

n⁸

500

Explain how to divide powers.

Keep the base, subtract the exponents.

Either/Or

100

7⁵ x 7¹⁰ = ?

7¹⁵

200

10¹⁵/10³ = ?

10¹²

300

10⁷/10² = ?

10⁵

400

(-3)¹² x (-3)⁷ = ?

(-3)¹⁹

500

(3³ x 3⁷)/3⁵ = ?

3⁵