To The Power Of Calculator

Exponentiation raises a base b to a power x and is written a = b^x.

What this calculator does

Enter the base and exponent. The calculator reports the real-valued result when JavaScript can represent it.

How the calculation works

The formula is a = b^x. Positive integer powers represent repeated multiplication, negative powers represent reciprocals, and fractional powers correspond to roots. Any nonzero base to the zero power is 1; 0^0 is treated as undefined.

Worked example

7^2 = 49, 3^4 = 81, and 8^(1/3) = 2.

Limitations and notes

Negative bases with non-integer exponents may require complex numbers and are rejected when there is no real result. Extremely large or small results are limited by floating-point range.

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