Power of a Power
How to solve the power of a power (am)n: formula, 2 examples, and their solutions.
Formula
(am)n = am⋅n
The power of a power can be simplified by
multiplying the exponents: m⋅n.
Example(x2)3
Solution
Solution (Detail)
(x2)3 = x2⋅3
2⋅3 = 6.
So x6 is the answer.
Example[(x4)2]5
Solution
Solution (Detail)
Start from the inner part.
(x4)2 = x4⋅2
4⋅2 = 8
[x8]5 = x8⋅5
8⋅5 = 40
So x40 is the answer.