# Exponents Calculator

Exponents calculator with negative numbers and steps.

 EnterBase EnterExponent

* Use e for scientific notation. E.g: 5e3, 4e-8, 1.45e12

** To find the exponent from the base and the exponentation result, use logarithm calculator:

Expression with base^exponent:

## Exponents laws and rules

The exponent formula is:

a n = a×a×...×a

n times

The base a is raised to the power of n, is equal to n times multiplication of a.

For example:

25 = 2×2×2×2×2 = 32

##### Multiplying exponents

an am = an+m

Example: 23 ⋅ 24 = 2(3+4) = 27 = 128

an bn = (a b) n

Example: 32 ⋅ 42 = (3⋅4)2 = 122 = 144

##### Dividing exponents
anam
= an-m
Example:
2523
= 2(5-3) = 22 = 4

anbn
= (a/b)n
Example:
8222
= (8/2)2 = 42 = 16

##### Power of exponent

(an)m = anm

Example: (23)4 = 2(3 ⋅ 4) = 212 = 4096

m√(an) = an/m

Example: 2√(26) = 2(6 / 2) = 23 = 8

a -n =
1a n
Example: 2-3 =
123
=
18
= 0.125

##### Zero exponent

a 0 = 1

Example: 40 = 1

See: exponents rules

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