Nth Power Calculator
Compute xⁿ for any base and exponent, or invert to solve for the base or exponent given a target result.
Power expression
Updates as you typeMode
What do you want to solve for? ?
Target result ?
—
Common exponents (click to fill)
Inputs
Base (x) ?
—
Exponent (n) ?
—
Display (optional)
Output format ?
Growth of xᵏ
From k = 0 up to the current exponentk = —
Value —
y = xᵏ
Log scale — values grew too fast for linear display.
Values table
| k | xᵏ | Scientific | Magnitude |
|---|
Formula
x
n
=
x × x × … × x
(
n times
)
Zero exponent: x0 = 1 (for x ≠ 0)
Negative exponent: x−n = 1 / xn
Fractional exponent: x1/n = n√x
General fractional: xa/b = b√(xa)
- x
- Base — the number being raised to a power.
- n
- Exponent — how many times the base is multiplied (or which root for fractions).
Worked example — your numbers
- Expression: —
- Exponent type: —
- Expansion: —
- Result: —
Negative bases combined with non-integer exponents produce complex numbers — only real results are shown here. 00 is conventionally defined as 1 in combinatorics and polynomial expansion, though it is left undefined in analysis.