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Exponent, Power & Nth Root Calculator

Calculate integer, negative, and fractional powers x^y, square roots, cube roots, and general nth roots.

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Base & Exponent

Power & Radical Results

xʸ (Power)
1024
ʸ√x (Nth Root)
1.0717
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How to Use the Exponent, Power & Nth Root Calculator

  1. 1
    Enter a base $x$ and an exponent $y$ to compute $x^y$.
  2. 2
    Or switch to "Nth Root" mode: enter radicand $x$ and root index $n$ to solve $\sqrt[n]{x} = x^{1/n}$.
  3. 3
    Supports positive, negative, and fractional exponents (e.g. $8^{2/3} = 4$).
  4. 4
    Inspect the step-by-step simplification and radical representation.

Practical Example & Use Case

Common Real-World Scenario

Calculating the 4th root of 625: $\sqrt[4]{625} = 625^{0.25} = 5$, because $5^4 = 625$.

Technical Notes & Limitations

Browser Engine Architecture

Calculates real-number solutions using high-precision IEEE 754 floating-point math.

Frequently Asked Questions

What does a negative exponent mean?

A negative exponent indicates the reciprocal of the base raised to the positive power: $x^{-n} = 1 / x^n$.