Math Tool

Exponent & Power Calculator

Calculate base raised to exponent power, roots, and logarithms.

Last reviewed by the myCalculator Editorial Team

Input Parameters

Calculation Results

2^8
256
Square Root (√2)
1.414214
Cube Root (∛2)
1.259921
Natural Log (ln 2)
0.693147
Log Base 10 (log₁₀ 2)
0.30103
Step-by-Step Calculation Solution
1.Calculation: 2^8
2.Expanded equation: 2 raised to power 8 = 256

Formula & How Exponent & Power Calculator Works

Mathematical Formula
P = xⁿ

An exponent says how many times to multiply a number by itself: 2^10 means ten twos multiplied together, which is 1,024. A negative exponent gives the reciprocal, so 2^-3 = 1/2^3 = 1/8 = 0.125. A fractional exponent is a root: 81^(1/2) is the square root of 81, which is 9, and 27^(1/3) is the cube root of 27, which is 3. Powers of ten move the decimal point, so 10^3 = 1,000 and 10^-2 = 0.01. Enter the base and exponent to see the result, the worked steps and the reverse root or logarithm so you can check the answer.

How to Calculate Exponent & Power Calculator (Step-by-Step)
  1. Enter Base Number (x): Input your target parameter value.
  2. Enter Exponent Power (n): Input your target parameter value.
  3. Apply Formula: Calculate using P = xⁿ.
  4. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)

What is any number to the power of 0?

Any non-zero number raised to the power of 0 equals 1.

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Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

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