Exponent Calculator
Exponentiation is a mathematical operation, written an, involving two numbers, the base a and the exponent n. When n is a positive integer, exponentiation corresponds to repeated multiplication:
an = a * a * ...{n times}...* a * a
The exponent is usually shown as a superscript to the right of the base.
Basic Exponent Laws
am+n = am * an
am-n = am / an
am*n = (am)n
(a * b)n = an * bn
(a / b)n = an / bn
a-n = 1 / an
a1 = a
a0 = 1
00 = 1 (definition)
Examples:
-
base 2 with the exponent 5: 25 = 32
base -2 with the exponent 5: (-2)5 = -32
base 2 with the exponent 6: 26 = 64
base -2 with the exponent 6: (-2)6 = 64
base 2 with the exponent 1/2: 21/2 = 1.414
base -2 with the exponent 1/2: (-2)1/2 = 1.414i (i means imaginary)
