Exponents Calculator

Online exponents calculator with negative numbers support and steps.

Enter the base and exponent and press the = button:

Enter Enter  
Base: Exponent:  
 
 
Exponentation result:
Exponentation calculation:

* 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 = (34)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 = anm

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

 

Logarithm calculator ►

 


See also

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