Exponents calculator

Online exponents calculator with negative numbers support and steps.

Enter Base:	Enter Exponent:
		+ - × ÷
Calculate Reset
Result:
Calculation:

* 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 ►

Exponents laws and rules

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 ⋅ a^m = a^n+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 / a^m = a^n-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 = a^n⋅m

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

 

Radical of exponent

^m√(aⁿ) = a^n/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

 

 

Logarithm calculator ►

 

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See also

• Exponential growth calculator
• Antilog calculator
• Logarithm calculator
• Scientific notation calculator
• Root calculator
• Square root calculator