Exponents calculator with negative numbers and steps.

* 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:

2^{5} = ? , 2^{-5} = ? , -2^{5} = ? , -2^{-5} = ?

The exponent formula is:

*a ^{ n}* =

n times

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

For Example: 1

2⁶ = 2×2×2×2×2×2 = 64

Example: 2

3⁵ = 3×3×3×3×3 = 243

*a*^{n }⋅ *a*^{m }= *a*^{n+m}

Example: 2^{4 }⋅ 2^{5 }= 2^{(4+5) }= 2^{7 }= 512

*a*^{n }⋅ *b ^{n}*

Example: 3^{2 }⋅ 4^{2 }= (3⋅4)^{2 }= 12^{2 }= 144

*a*^{n }/ *a*^{m }= *a*^{n-m}

Example: 2^{5 }/ 2^{3 }= 2^{(5-3) }= 2^{2 }= 4

*a*^{n }/ *b ^{n}*

Example: 8^{2 }/ 2^{2 }= (8/2^{)2 }= 4^{2 }= 16

(*a*^{n})^{m }= *a*^{n⋅m}

Example: (2^{3})^{4 }= 2^{(3 ⋅ 4) }= 2^{12 }= 4096

^{m}√(*a*^{n}) = *a*^{n/m}

Example: ^{2}√(2^{6}) = 2^{(6 / 2) }= 2^{3 }= 8

*a*^{ -n }= 1 / *a*^{ n}

Example: 2^{-3 }= 1 / 2^{3 }= 1 / 8 = 0.125

*a*^{ 0 }= 1

Example: 4^{0 }= 1

See: exponents rules

- Exponents rules
- Exponential growth calculator
- Antilog calculator
- Logarithm calculator
- Scientific notation calculator
- Root calculator
- Square root calculator
- Electric power calculator
- Logarithm

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