Power and Exponent Calculator (a to the b)

Enter a base a and an exponent b to compute a to the power of b. Supports integers, decimals and negative exponents, and also shows the square, cube and reciprocal.

Input

Enter a base a and an exponent b to compute a to the power of b. Decimals, negative values and negative exponents are all supported.

Base a

The number being raised (integer, decimal or negative)

Exponent b

The power to raise to (integer, decimal or negative)

Result

2 to the power of 10

1,024

a squared

a cubed

a to the power of minus 10 (reciprocal)

0.00097656

Formula

2 to the power of 10 equals 1,024

Laws of exponents: a to the m times a to the n equals a to the m plus n. a to the m, all to the n, equals a to the m times n. a to the power minus n is the reciprocal of a to the n.

How it works

The power a to the b multiplies the base a by itself b times. The exponent can also be a decimal or a negative number.
Key laws of exponents: a to the m times a to the n equals a to the m plus n. a to the m divided by a to the n equals a to the m minus n. a to the m, all to the n, equals a to the m times n.
a to the power 0 equals 1 when a is not 0. a to the power minus n equals the reciprocal of a to the n, that is 1 divided by a to the n.
When the base is negative and the exponent is not an integer, the value is not defined over the real numbers, so it is treated as undefined.
This tool displays 0 to the power 0 as 1. Note that its value can be treated differently depending on the context.

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