An exponent shows how many times a base number is multiplied by itself. For example, 2 to the power of 3 means 2 × 2 × 2 = 8.

How do negative exponents work?

A negative exponent means the reciprocal of the base raised to the positive exponent. For example, 2^-3 equals 1 divided by 2^3, which is 1/8.

Can this calculator calculate fractional exponents?

Yes. Fractional exponents are supported when the result is a real number. For example, 8^(1/3) equals 2.

What is any number to the power of zero?

For most standard calculations, any non-zero number raised to the power of zero equals 1.

Exponent Calculator

Interactive Tool

Calculate a Number Raised to a Power

Live Result

Base

Exponent

Tip: You can enter fractions like 1/2, 2/3, or decimals like 0.5.

Result

2⁸

256

2 multiplied by itself 8 times.

Power Type Positive integer exponent

Expanded Form 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

Scientific Notation 2.56 × 10²

Power Growth Visual

See how the value grows step by step for positive integer exponents.

Step-by-Step Work

Base = 2 and exponent = 8.
Write 2 eight times and multiply.
2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256.

Exponent Calculator Examples

How to Use the Exponent Calculator

Enter the base

Type the number that will be multiplied or raised to a power. You can use positive numbers, negative numbers, or decimals.

Enter the exponent

Type the power value. You can enter whole numbers, negative powers, decimals, or fractions like 1/2 and 1/3.

Check the result

View the answer, scientific notation, step-by-step work, and power growth chart where applicable.

What Is an Exponent?

An exponent tells you how many times a base number is used as a factor. For example, 4³ means 4 × 4 × 4, which equals 64. This exponent calculator helps you solve simple powers, negative powers, decimal powers, and fractional exponents in one place.

Exponents are used in algebra, geometry, finance, physics, computer science, and growth problems. For example, powers can appear in square and cube formulas, compound growth formulas, scientific notation, and measurement calculations.

If you are learning geometry, you may also find our circumference calculator useful for circle problems. For road grade, ramp, or incline math, try the slope percentage calculator.

Positive, Negative, and Fractional Exponents

Positive exponent

A positive exponent means repeated multiplication. Example: 5³ = 5 × 5 × 5 = 125.

Negative exponent

A negative exponent means reciprocal form. Example: 5⁻² = 1 / 5² = 0.04.

Fractional exponent

A fractional exponent often represents a root. Example: 9½ = √9 = 3.

Exponent Rules Table

Rule	Meaning	Example
a⁰ = 1	Any non-zero number to power 0 equals 1	7⁰ = 1
a¹ = a	Any number to power 1 equals itself	9¹ = 9
a⁻ⁿ = 1 / aⁿ	Negative exponent creates reciprocal form	2⁻³ = 1 / 8
a½ = √a	Power one-half means square root	16½ = 4
aᵐ × aⁿ = aᵐ⁺ⁿ	Same base multiplication adds exponents	2² × 2³ = 2⁵

FAQs About Exponents

What does 2 to the power of 5 mean?

It means 2 is multiplied by itself 5 times: 2 × 2 × 2 × 2 × 2 = 32.

What is a negative exponent?

A negative exponent changes the expression into a reciprocal. For example, 4⁻² = 1 / 4² = 1 / 16 = 0.0625.

Can I calculate e to the power of x?

Yes. Click the “Use e” button, enter your exponent, and the calculator will calculate e raised to that power.

Why does a number to the power of zero equal 1?

For any non-zero base, the zero exponent rule says a⁰ = 1. This rule keeps exponent patterns consistent.

Does the calculator support fractional exponents?

Yes. You can enter values like 1/2, 1/3, 2/3, or decimals like 0.5 and 0.25.