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Exponent Calculator

Our Exponent Calculator helps you quickly compute the value of a number raised to any power. Whether you're dealing with positive, negative, or fractional exponents, this tool provides accurate results for your math homework or everyday calculations.

Enter the number you want to raise to a power.

Enter the power you want to raise the base by.

How it works

Our Exponent Calculator helps you quickly compute the value of a number raised to any power. Whether you're dealing with positive, negative, or fractional exponents, this tool provides accurate results for your math homework or everyday calculations.


The Formula
The basic formula for an exponent is: x^y Where 'x' is the base and 'y' is the exponent (or power). It means 'x' multiplied by itself 'y' times.

Worked Example
  1. Example: Calculating 2 raised to the power of 3

    Let's say you want to find 2^3. Here, the base (x) is 2 and the exponent (y) is 3. This means you multiply 2 by itself 3 times: 2 × 2 × 2 = 8. Our calculator will show you this result instantly.


Tips, Assumptions & Limitations
  • Remember that any number (except zero) raised to the power of 0 is 1 (e.g., 5^0 = 1).
  • A negative exponent means taking the reciprocal of the base raised to the positive exponent (e.g., 2^-2 = 1 / 2^2 = 1/4).
  • Fractional exponents represent roots (e.g., x^(1/2) is the square root of x, and x^(1/3) is the cube root of x).
FAQ

An exponent (also called an index or power) tells you how many times to multiply a base number by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 × 2 × 2.

A negative exponent indicates the reciprocal of the base raised to the positive version of that exponent. For instance, x^-n is equal to 1 / x^n. So, 5^-2 means 1 / (5 × 5) = 1/25.

Yes, fractional exponents are used to represent roots. For example, x^(1/2) is the square root of x, and x^(1/3) is the cube root of x. More generally, x^(a/b) is the b-th root of x raised to the power of a.

If the base is zero and the exponent is a positive number (e.g., 0^2), the result is 0. If the base is zero and the exponent is zero (0^0), it's often considered 1 by convention in many mathematical contexts, though sometimes it's left undefined. Our calculator uses the convention of 1.

Companion article

Exponent Calculator: Master Powers and Roots with Ease

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