Math

Exponential Form Calculator

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

Calculated Output

Value 2

Exponent (1/n) 0.25

Formula: ᵑ√x = x^(1/n)

Step-by-Step Breakdown

1. Values used:

2. Radicand x = 16

3. Root index n = 4

5. Value = 2

6. Exponent (1/n) = Root index n / Radicand x = 4 / 16 = 0.25

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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.

⁴√16 = 16^(1/4) = 2.

Why rewrite roots as exponents?

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