Ximpledu

Exponent Rules

See how to use the exponent rules
to simplify the exponents.
15 examples and their solutions.

am⋅an

Formula

aman = am + n

Example

x6⋅x8
Solution

Example

32xy4⋅3x3y7
Solution

(am)n

Formula

(am)n = amn

Example

(x2)3
Solution

Example

((x4)2)5
Solution

(ab)m

Formula

(ab)m = am⋅bm

Example

(x3y)2
Solution

aman

Formula

aman = am - n

Example

x8x3 = ? (x ≠ 0)
Solution

Example

12x7y2z94x4y2z5 = ? (x, y, z ≠ 0)
Solution

(ab)m

Formula

(ab)m = ambm

Example

(xy2)3 = ? (y ≠ 0)
Solution

Example

(3x4y)2 = ? (x, y ≠ 0)
Solution

Zero Exponent

Formula

a0 = 1

Example

20
Solution

Example

4x2y0⋅(-3xy)0 (x, y ≠ 0)
Solution

Negative Exponent

Formula

a-m = 1am

Example

x-4 (x ≠ 0)
Solution

Example

1x-3 = ? (x ≠ 0)
Solution

Example

x-5y7x2y-1 = ? (x, y ≠ 0)
Solution