Free Exponent Calculator

Exponent Calculator

Calculate powers, nth roots, scientific notation and e raised to a power with formulas and real-number validation. Explore related tools in our Math Calculators collection.

4 Exponent modes Domain checks Formula and steps No sign-up

Calculator

Evaluate powers and exponents

Choose a calculation for powers, roots, scientific notation, or the exponential function eˣ.

base
power

Example: 2⁸ = 256.

Advertisement

What is an exponent calculator?

An exponent calculator evaluates repeated multiplication, reciprocal powers, roots, powers of ten and the natural exponential function. The base is the quantity being raised, and the exponent describes the power.

Browse the Math Calculators category for more arithmetic and algebra tools.

How does the exponent calculator work?

The selected mode determines whether the calculator evaluates bˣ, finds an nth root, multiplies a coefficient by 10ⁿ, or evaluates eˣ. Before calculating, it checks real-number domain rules and rejects undefined or non-finite results.

Exponent formulas

bˣ = b multiplied by itself x times when x is a positive integer
b⁻ˣ = 1 / bˣ, for b ≠ 0
ⁿ√a = a^(1/n)
Scientific notation value = coefficient × 10^exponent

How to use the exponent calculator

  1. Select power, nth root, scientific notation or eˣ.
  2. Enter the labeled values.
  3. Select Calculate Exponent.
  4. Review the numerical result, interpretation and formula substitution.

Exponent examples

2⁸ = 256. The cube root of −27 is −3. Scientific notation 6.02 × 10²³ evaluates to 6.02e23. The value e² is approximately 7.389056.

Domain and precision limitations

Zero raised to a negative exponent is undefined. An even root of a negative number has no real result. Very large magnitudes can exceed the browser's finite number range, and displayed decimals are rounded for readability.

Frequently asked questions about exponents

An exponent tells how many times a base is used as a factor.
For a nonzero base, a negative exponent means the reciprocal of the corresponding positive power.
No. It would require division by zero.
An nth root is equivalent to raising a number to the power 1/n, subject to real-number domain rules.
Not as a real number. This calculator reports that the result is outside its real-number scope.
Scientific notation writes a number as a coefficient multiplied by a power of ten.

Methodology and calculation scope

Calculations use JavaScript double-precision real numbers. Domain checks are applied before Math.pow or Math.exp is used, and only the displayed result is rounded.

Privacy note: Calculations run in your browser. This page does not send the values you enter to a calculation server.