Exponent Calculator
Calculate powers (x^y), square roots, cube roots, and nth roots. Exponent calculator with step-by-step solutions.
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Frequently Asked Questions
Clear answers to common questions to help you use this calculator confidently.
What is an exponent?
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What is an exponent?
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An exponent tells how many times to multiply a number by itself. 2³ = 2 × 2 × 2 = 8. x⁰ = 1 (x ≠ 0). x⁻ⁿ = 1/xⁿ.
How do you calculate a square root?
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How do you calculate a square root?
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The square root of x is the number that, when multiplied by itself, equals x. √16 = 4 because 4² = 16. Square roots can also be written as x^(1/2).
Why is any number to the power of 0 equal to 1?
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Why is any number to the power of 0 equal to 1?
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Following the pattern xⁿ/xⁿ⁻¹ = x, dividing exponents of the same base one step further gives x¹/x¹ = x⁰ = 1. This holds for any non-zero base; 0⁰ is undefined.
Can I compute a negative exponent or root here?
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Can I compute a negative exponent or root here?
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Yes. A negative exponent (x⁻ʸ) returns 1/xʸ. An even root (like square root) of a negative base is undefined in real numbers, so the calculator shows an error for those inputs rather than an incorrect result.
What's the difference between x² and 2x?
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What's the difference between x² and 2x?
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x² (x squared) means x multiplied by itself: x × x. 2x means 2 multiplied by x. They're easy to confuse but give very different results — for x = 5, x² = 25 while 2x = 10.
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