Basic Exponent Rules

Product Rule

100

x²x³

x⁵

200

(2y³)(3y⁴)

6y⁷

300

(4x²y)(2x⁴y⁵)

8x⁶y⁶

400

(x^-1y³z²)(x³y⁷z⁵)

x²y¹⁰z⁷

Quotient Rule

100

 a⁵

____

 a²

a³

200

 6x⁴y⁶

______

 3x²y²

2x²y⁴

300

 3a³b¹¹

_______

    ab

3a²b¹⁰

400

 4x²y⁵z⁴

________

 2x^-8yz³

2x¹⁰y⁴z

Power of a Power

100

(x²)⁵

x¹⁰

200

(2a⁴)³

8a¹²

300

(4a⁴b²)²

16a⁸b⁴

400

(3x³y¹⁰z⁷)³

27x⁹y³⁰z²¹

Negative Exponents

100

x^-2

 1

___

 x²

200

4y^-5

 4

___

 y⁵

300

 4x²y^-3

^________

  3z^-7

 4x²z⁷

______

   3y³

400

 3a^-3b⁷c^-1

^____________

     6

   b⁷

^_______

  2a³c

Power of 0

100

x⁰

1

200

4b⁰

4

300

(7a²b)⁰

1

400

9(x³y⁴z⁵)⁰

9