Math

Power of a Power Calculator

Simplify (base^a)^b.

Parameters Live Compute
Calculated Output
Result 64
Combined exponent 6
Formula: (baseᵃ)ᵇ = base^(a×b)
Step-by-Step Breakdown
1. Values used:
2. Base = 2
3. Exponent a = 3
4. Exponent b = 2
5.
6. Result = 64
7. Combined exponent = Base x Exponent a = 2 x 3 = 6
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When raising a power to a power, multiply the exponents.

The math behind it

(baseᵃ)ᵇ = base^(a × b).

Worked Example

(2³)² = 2⁶ = 64.

Frequently Asked Questions

Multiplying powers?

Same base: add exponents (xᵃ × xᵇ = x^(a+b)).

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