Online exponents calculator with negative numbers support and steps.
* Use e for scientific notation. E.g: 5e3, 4e-8, 1.45e12
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
an / am = an-m
Example: 25 / 23 = 2(5-3) = 22 = 4
an / bn = (a / b) n
Example: 82 / 22 = (8/2)2 = 42 = 16
Power of exponent
(an)m = an⋅m
Example: (23)4 = 2(3 ⋅ 4) = 212 = 4096
Radical of exponent
m√(an) = an/m
Example: 2√(26) = 2(6 / 2) = 23 = 8
Negative exponent
a -n = 1 / a n
Example: 2-3 = 1 / 23 = 1 / 8 = 0.125
Zero exponent
a 0 = 1
Example: 40 = 1
See: exponents rules
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