Exponent Properties

Product Rule

100

m²m⁴

m⁶

200

m⁵m³

m⁸

300

2r³r⁴

2r⁷

400

x⁶x^-4

x²

500

4x³2x⁴

8x⁷

Power Rule

100

(x²)²

x⁴

200

(x²y²)³

x⁶y⁶

300

(3x³)²

9x⁶

400

(2x³r²)³

8x⁹r⁶

500

(3r²t³)³

27r⁶t⁹

Quotient Rule

100

x⁵ / x³

x²

200

x¹⁰y⁴ / x⁶y⁷

x⁴ / y³ 

300

35x⁴ / 5x⁹

7/x⁵

400

12x¹¹ / 40x⁹

3x² / 10

500

(3x⁵y)² / 18x⁶y⁵

x⁴ / 2y³

Zero and Negative Exponent Rules

100

x⁰

1

200

(3x²y¹⁰)⁰

1

300

(2x⁵y⁰)³

8x¹⁵

400

x^-5y²

y² / x⁵

500

11x^-2y^-6 / 3a^-5b^-4

11a⁵b⁴ / 3x²y⁶

Rational Exponents

100

This is another word for 'rational' in math.

What is a fraction.

200

This is the number of real roots when a < 0 and n is even.

What is 0 (or no real roots).

300

What is (64)^-1/2

What is 1/8

400

What is (-125)^2/3

What is 25

500

What is -8^-2/3

-1/4