Laws of Exponents

Multiplication

100

x⁵ · x⁴

x⁹

200

x⁶·y⁷

x⁶y⁷

300

x⁵·x²·x⁶

x¹³

400

(x³y²)(xy⁴)

x⁴y⁶

500

3p²·2p⁴q²

6p⁶q²

Division

100

x⁹÷x²

x⁷

200

x⁸÷y⁹

x⁸y⁹

300

2a⁷÷(2a)³

a⁴

400

4a⁸b⁴÷2a⁷b³

2ab

500

4x³y⁵÷2xy²

2x²y³

Raising to a Power

100

(x⁷)⁸

x⁵⁶

200

(x⁶y⁴)⁸

x⁴⁸y³²

300

(2x⁰y⁸)³

2y²⁴

400

(x⁵y⁸b³⁵)¹³

x⁶⁵y¹⁰⁴b⁴⁵⁵

500

(2x⁵3y²3b¹⁰)⁵

32x²⁵243y¹⁰243b⁵⁰

Miscellaneous

100

(q√q)/(q^-1.5)

q³

200

(a^3/2/b³)/(a^-1/b²)

a^5/2/b

300

(x^3/2)⁴•x⁰/(x⁵/x^1/2)

x^3/2

400

(x³/x^1/2)•(x^3/2/x⁰)•x⁷

x¹¹