Power Of A Power Calculator

Power Of A Power Calculator

Simplify expressions of the form (a^m)^n and review the exponent rule beside the result.

Last updated: March 2026 | By ForgeCalc Engineering

Power Of A Power Solver

Exponent rule

Calculation Steps

1.Expression: (2^3)^4
2.Rule: (a^m)^n = a^(m x n)
3.Calculation: 3 x 4 = 12
4.Result: 2^12 = 4096
Result
4096

a^(m x n)

What the Power Rule Means

The power of a power rule says that when one power is raised to another power, you multiply the exponents.

How to Simplify a Power of a Power

  1. Identify the inner and outer exponents.
  2. Multiply the exponents together.
  3. Keep the same base.
  4. Compute the final power if needed.
(a^m)^n = a^(m x n)

Worked Example

Example: (2^3)^4 = 2^12.

3 x 4 = 12

Frequently Asked Questions

Does the base have to be an integer?

No. Any finite real number can be used as the base.

What if the exponents are decimals?

The calculator allows real numbers, but the rule is most common with integers.

Why multiply exponents?

Repeated multiplication of the same base results in multiplying the exponent counts.

Can negative bases work?

Yes, but the result depends on the parity of the combined exponent.

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