Skip to content
ToolQivo

Exponent Calculator

Raise any number to any power, including negative and fractional exponents.

Calculators Reviews Free · no sign-up

—

—

Exponent rules

a^m × a^n = a^(m+n)
Multiplying powers of the same base adds the exponents.
a^m ÷ a^n = a^(m−n)
Dividing subtracts them.
(a^m)^n = a^(m×n)
A power of a power multiplies the exponents.
a^0 = 1
Anything except zero raised to zero is one.
a^−n = 1 / a^n
A negative exponent is a reciprocal, not a negative answer.
a^(m/n) = ⁿ√(a^m)
A fractional exponent is a root.

Quick Tool Overview

The Exponent Calculator raises any base to any power, including negative, decimal and fractional exponents, and shows the expanded multiplication for small whole-number powers so you can see where the answer comes from.

What it does
Evaluates powers, including negative and fractional exponents
You give it
A base and an exponent
You get back
The result, with the expansion and the relevant exponent rule
Best for
Algebra, scientific notation, compound growth and physics
Calculators Free, unlimited use No sign-up Runs in your browser

About the Exponent Calculator

Enter a base and an exponent to get the result, with the expanded multiplication shown for small whole-number powers so you can see where the answer comes from. Negative, decimal and fractional exponents are all supported.

Fractional exponents are the useful part, because they are roots in disguise: 8 to the power of 1/3 is the cube root of 8, and 16 to the power of 3/4 is the fourth root of 16 cubed. Negative exponents are reciprocals, so 2 to the power of -3 is 1/8 rather than -8, which is the mistake this calculator exists to stop. A summary of the exponent rules sits below the result for the times you need to combine powers rather than evaluate one.

Key features of the Exponent Calculator

Fractional exponents are roots

8 to the power of 1/3 is the cube root of 8, and 16 to the power of 3/4 is the fourth root of 16 cubed — both handled directly.

Negative exponents done right

2 to the power of -3 is 1/8, not -8, which is the mistake this calculator exists to stop.

Expanded multiplication shown

For small whole powers the full product is printed, so the result is not a black box.

Exponent rules summary

A reference for combining powers sits below the result, for when you need to simplify rather than evaluate.

Large and small magnitudes

Results are shown readably whether they run to many digits or many decimal places.

How to use the Exponent Calculator

  1. 1

    Enter the base

    Type the number being raised to a power. Decimals and negatives are both accepted.

  2. 2

    Enter the exponent

    Whole numbers, negatives and fractions such as 0.5 or 2/3 all work.

  3. 3

    Read the result

    The answer appears with the expansion or the equivalent root form, depending on the exponent you used.

Frequently asked questions

It means the reciprocal of the positive power. 2 to the power of -3 is 1 divided by 2 cubed, which is 1/8 or 0.125. It never makes the answer negative.

Reviews of the Exponent Calculator

What people who use the Exponent Calculator think of it. Reviews come from visitors and are posted as written.

No ratings yet

Yours would be the first.

  • 5 0 reviews rated 5 stars
  • 4 0 reviews rated 4 stars
  • 3 0 reviews rated 3 stars
  • 2 0 reviews rated 2 stars
  • 1 0 reviews rated 1 star

Write a review

Used this tool? Your rating helps the next person decide.

Your rating

Plain text only — links, email addresses and HTML are not accepted. Your name and review are shown publicly; nothing else is collected. See the privacy policy.

0 reviews

Newest first

No reviews yet

Be the first to rate the Exponent Calculator. It takes half a minute and no account.

Write the first review

More calculators