Exponent calculator

Exponent / Power Calculator

This free exponent calculator lets you calculate powers of numbers quickly. You can compute positive, negative, and fractional exponents and get the result instantly.

Result will appear here.

Understanding Exponents

An exponent indicates how many times a number (base) is multiplied by itself. For example, 2³ = 2 × 2 × 2 = 8.

Example: Base = 3, Exponent = 4 → 3⁴ = 3 × 3 × 3 × 3 = 81

How the Calculator Works

The calculator automatically:

Step 1: Takes the base and exponent input

Step 2: Computes the power using JavaScript Math.pow()

Step 3: Handles positive, negative, and fractional exponents

Step 4: Displays the result instantly

Examples

1. 2³ = 8

2. 5⁰ = 1

3. 4^-2 = 0.0625

4. 9^0.5 = 3 (square root)

Why Exponents Matter

Exponents are fundamental in algebra, science, engineering, finance, and computing. They simplify multiplication of repeated numbers and represent large or small values compactly.

Common Mistakes to Avoid

One common mistake is misunderstanding negative exponents: a^-n = 1 / aⁿ.

Another mistake is confusing multiplication with exponentiation: 2 × 3 ≠ 2³.

Important: Negative exponents represent reciprocals, not negative numbers.

Correct: Remember that fractional exponents represent roots: a^1/2 = √a.

Frequently Asked Questions

Can the base be negative?

Yes, but fractional exponents of negative numbers are undefined in real numbers.

Can the exponent be negative?

Yes. Negative exponents represent reciprocals. Example: 2^-3 = 1/8

Can the exponent be a fraction?

Yes. Fractional exponents represent roots. Example: 8^1/3 = 2

Conclusion

Exponentiation is a crucial math operation used in many fields. This calculator provides fast, accurate results for any base and exponent combination, making calculations simple and error-free.

Use it for algebra, science, engineering, finance, or any situation requiring power calculations.