Exponent Calculator
Raise any base to any power. Enter the base and the exponent — positive, negative, decimal or a fraction such as 1/3 — and get the result in ordinary and scientific notation, with the multiplication written out for small whole-number powers.
- Scientific notation
- 1.024 × 10³
- Written out
- 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
Saved setups
Save a set of inputs you reuse — your usual rate, your loan, your room sizes — and load it back in one tap.
Your recent calculations
Results you calculate here are kept on this device so you can come back to them.
Formula
How to use it
- Enter the base.
- Enter the exponent. You can type a fraction such as 1/2 or 2/3.
- Read the result.
Worked examples
2 to the 10th power
- Result
- 1,024
- Scientific notation
- 1.024 × 10³
5 to the power −2
- Result
- 0.04
- Scientific notation
- 4 × 10⁻²
3 to the 4th power
- Result
- 81
- Written out
- 3 × 3 × 3 × 3
The laws of exponents
Same base, multiply: add the exponents, bᵐ × bⁿ = b^(m + n). Same base, divide: subtract them. A power of a power: multiply them, (bᵐ)ⁿ = b^(m × n). A product to a power: (ab)ⁿ = aⁿ × bⁿ.
Negative bases and special cases
Parentheses matter: (−2)⁴ = 16, but −2⁴ means −(2⁴) = −16. This calculator treats a negative base as being in parentheses.
A negative base with a fractional exponent generally has no real answer, so no result is shown; for the cube root of a negative number use the cube root calculator. 0⁰ is shown as 1, the usual convention in algebra and computing.
Questions people ask
What is 2 to the power of 10?
1,024.
What is 5 to the power of −2?
0.04. A negative exponent means the reciprocal: 1 ÷ 5² = 1 ÷ 25.
What is 27 to the power of 1/3?
3. A power of 1/3 is a cube root, and 3 × 3 × 3 = 27.
Why is any number to the power of 0 equal to 1?
Dividing a power by itself gives 1, and by the subtraction rule bⁿ ÷ bⁿ = b⁰. So b⁰ must be 1 for any non-zero b.