Power of a Power
How to solve the power of a power (am)n: formula, 2 examples, and their solutions.
(am)n = am⋅n
The power of a power can be simplified by multiplying the exponents: m⋅n.
A power (x2) is powered (cubed).
So (x2)3 = x2⋅3.
2⋅3 = 6.
So x6 is the answer.
Simplify the inner part: (x4)2.
A power (x4) is powered (squared).
So (x4)2 = x4⋅2.
Think 4⋅2 as an exponent number.
A power [x4⋅2] is powered (fifth).
So [x4⋅2]5 = x4⋅2⋅5.
So ((x4)2)5 = x4⋅2⋅5.
Simplify the exponent.
4⋅2⋅5 = 8⋅5 = 40.
So x40 is the answer.