Exponential Form Calculator

Convert a radical ᵑ√x into exponential form x^(1/n).

Value 2
Exponent (1/n) 0.25

Formula: ᵑ√x = x^(1/n)

Step-by-step with your numbers:
1. Values used:
2. Radicand x = 16
3. Root index n = 4
4.
5. Value = 2
6. Exponent (1/n) = Root index n / Radicand x = 4 / 16 = 0.25
Did we solve your problem today?

Radicals and exponents are two ways to write the same thing; this converts a root to a power.

The math behind it

The n-th root of x equals x raised to the power 1/n. This makes it easy to combine with the exponent rules.

Worked example

⁴√16 = 16^(1/4) = 2.

FAQ

Why rewrite roots as exponents?

It lets you use the product, quotient and power rules directly.