Laws of Exponents

Product Rule

100

x² ∙ x³

What is x⁵

200

x ∙x²

What is x³

300

3a² x 4a³

What is 12a⁵

400

2a² x 4a⁴ 

What is 8a⁶

500

(3b²)(4b)

What is 12b³

Dividing

100

3⁴/3²

What is 3²

200

x⁴ / x²

What is x²

300

x⁹ / x²

What is x⁷

400

6a⁴/3a²

What is 2a²

500

15a³b⁴/5a²b²

What is 3ab²

Exponent of Exponent

100

(a²)³

What is a⁶

200

(b³)⁵

What is b¹⁵

300

(2a)³

What is 8a³

400

(2a³)²

What is 4a⁶

500

(3b²c⁴)²

What is 9b⁴c⁸

Negative Exponents

100

x^-1

What is 1/x

200

3^-2

What is 1/3²

300

y^-1

What is 1/y or 1/y¹

400

2^-2

What is 1/2²

500

x^-4

What is 1/x⁴

Zero/Rules

100

What rule states that when you are multiplying exponents, keep the base and add the exponents.

What is the Product Rule?

200

4⁰

What is 1?

300

What rule states that when you are dividing exponents with the same base, you should subtract the exponents?

What is the Quotient Rule?

400

What is (4xy³z²)⁰ ?

What is 1?

500

What rule states that any number raised to the exponent of one equals the bases?

What is the Base Rule or The One Exponent Rule?