Exponent Rules

Product Rule

100

x² * x³

x⁵

200

7x¹² * 5x²³

35x³⁵

300

x³² * y⁰ * x⁸

x⁴⁰

400

x^-22 * x¹¹

1/x¹¹

500

4²x³y * x¹³y^-17

16x¹⁶/y¹⁶

Quotient Rule

100

x³/x²

x

200

15x⁵/3x²

5x³

300

x²y¹⁴/x⁶y¹⁰

y⁴/x⁴

400

x^-30/x¹⁵

1/x⁴⁵

500

6x⁶y³/2x³

3x³y³

Power of a Power Rule

100

(x²)³

x⁶

200

(x¹¹)⁷

x⁷⁷

300

(2³)⁵

32768

400

(4^-3)³

1/262144

500

(5³)^-2

1/15625

Power of a Product Rule

100

(xy)³

x³y³

200

(2²x⁴)³

64x¹²

300

(3x⁵y⁸)³

27x¹⁵y²⁴

400

(34²⁶x⁷³y⁸¹)⁰

1

500

(2^-3xy¹¹)²

x²y²²/64

Power of a Quotient

100

(x/y)⁵

x⁵/y⁵

200

(x⁷/y⁷)

(x/y)⁷

300

(x²/y²)³

x⁶/y⁶

400

(2x³/y⁸)⁴

16x¹²/y³²

500

(3x³y/6x⁶y²)^-2

4x⁶y²