Nth Power Calculator

Work out nth power instantly with clear inputs, formula shown and shareable results.

About Nth Power Calculator

Raising b to the power n multiplies b by itself n times. A negative exponent gives the reciprocal, b⁻ⁿ = 1/bⁿ, and a zero exponent gives 1 for any non-zero base.

Formulas

Power

bⁿ = b × b × … × b (n factors)

Negative exponent

b⁻ⁿ = 1 / bⁿ

Worked example

With the default values below, Nth Power Calculator returns bⁿ of 2,187.000000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Base: 3
Exponent n: 7

Results

bⁿ: 2,187.000000
bⁿ⁺¹: 6,561.000000
b⁻ⁿ: 0.0004572474
log₁₀ of the result: 3.33984878

Step by step

1Values used
2Power
3Negative exponent
4bⁿ= 2,187.000000
5bⁿ⁺¹= 6,561.000000
6b⁻ⁿ= 0.0004572474
7log₁₀ of the result= 3.33984878

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 10 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is 3⁷?

2187, and 3⁸ = 6561.

Why is b⁰ = 1?

Because bⁿ / bⁿ = bⁿ⁻ⁿ = b⁰ and any non-zero number divided by itself is 1.