Calculate a root of any whole degree or a real power

Calculate a real power or an integer-degree root.

Rules reviewed: BS / EN
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About this result

Informational calculations. Check assumptions, dates and jurisdiction before making a decision.

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How to calculate roots and powers

For a root, enter the number and the root degree, and for a power, the number and the exponent. The nth root is the real number x for which xⁿ = a, so the cube root of 27 is 3. An odd root of a negative number is allowed, so the cube root of −27 is −3, while an even root of a negative number is not real. Negative or decimal exponents work whenever the result is a real number, except zero raised to a zero or negative power.

METHOD

Formula and method

Power a^b; an nth root is the real number x such that x^n=a.

TRACEABLE

Sources and validity

Basic arithmetic or geometry using the formula shown. Uses only your inputs.

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