Exponent Calculator
Raise any base to any exponent — including negative and fractional powers.
How it works
- 1Enter a base and an exponent. The calculator computes base^exponent using the standard power function.
- 2A negative exponent flips the result into a reciprocal — for example 2⁻³ = 1 ÷ 8 = 0.125.
- 3A fractional exponent extracts a root — for example 8^(1/3) = ∛8 = 2. A negative base with a fractional exponent has no real value.
Use cases
- Quickly verify compound-interest or exponential-growth calculations where repeated multiplication is error-prone.
- Check roots expressed as fractional exponents — useful in algebra, physics, and engineering.
- Confirm scientific-notation values: large exponents of 10 confirm order-of-magnitude estimates at a glance.
Frequently asked questions
What does a negative exponent mean?
A negative exponent means take the reciprocal of the positive-exponent result. For example, 2⁻⁴ = 1 ÷ 2⁴ = 1/16 = 0.0625.
What does a fractional exponent mean?
A fractional exponent p/q means take the q-th root raised to the p-th power. So 8^(2/3) = (∛8)² = 2² = 4.
Why does a negative base with a fractional exponent show no real value?
Most fractional exponents involve an even root somewhere, which is undefined for negative numbers in the reals. Only odd-integer roots of negative bases have real values.
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