Exponent Calculator

Enter a base and an exponent to get the power, its root and scientific notation.

Results

aⁿ
1,024
Scientific notation
1.024000e+3
n-th root of a
1.0717735
a⁻ⁿ (reciprocal)
0.0009765625
a² (squared)
4
a³ (cubed)
8

Raising to a power means multiplying a number by itself a set number of times: 2¹⁰ is ten 2s multiplied together, which is 1,024. Powers sit behind everything from compound interest to computer memory.

The exponent need not be a whole number. A negative exponent gives the reciprocal (2⁻³ = 1/8) and a fractional one gives a root (9^0.5 = √9 = 3). The calculator handles all of them.

How to calculate Exponents

  1. Enter the base (a).
  2. Enter the exponent (n); it can be negative or a decimal.
  3. Read aⁿ, the n-th root and the scientific notation.

Exponents formula

  • aⁿ = a × a × … × a (n times)
  • a⁻ⁿ = 1 ÷ aⁿ
  • a^(1/n) = ⁿ√a
  • aᵐ × aⁿ = aᵐ⁺ⁿ

Exponents example

2¹⁰ = 1,024. Its reciprocal 2⁻¹⁰ = 0.0009765625, and the square root of 2 is 2^0.5 = 1.4142136.

Exponents: common questions

What is a number to the power of zero?

Any number other than zero raised to the power of zero is 1.

How do negative bases work?

An even exponent gives a positive result and an odd one a negative result: (−2)⁴ = 16, (−2)³ = −8. A fractional exponent of a negative number may not be a real number.

What is scientific notation?

A way to write very large or very small numbers with a power of ten: 1,024 = 1.024 × 10³.