What does a negative exponent mean?

A negative exponent means you take the reciprocal of the base raised to the positive exponent. For example, 2⁻³ = 1/2³ = 1/8 = 0.125.

How do fractional exponents work?

Fractional exponents represent roots. The denominator indicates the root: x^(1/2) is the square root, x^(1/3) is the cube root. The numerator is a regular exponent: x^(2/3) = (∛x)².

What is the result of any number to the power of zero?

Any non-zero number raised to the power of zero equals 1. This is a fundamental rule in mathematics. However, 0⁰ is considered undefined or indeterminate.

Can I calculate very large exponents?

Yes, but be aware that results can become extremely large very quickly. For example, 2¹⁰ = 1,024, but 2¹⁰⁰ is astronomically large. Use scientific notation for very large results.

Exponent Calculator – Powers and Roots

Calculate powers, exponents, and roots with our comprehensive exponent calculator. Supports positive, negative, and fractional exponents.

Exponent Calculator – Powers and Roots

Calculate powers, exponents, and roots with our comprehensive exponent calculator. Supports positive, negative, and fractional exponents.

Base*

The base number

Exponent*

The power to raise the base to

📐

Math visualization will appear here

Understanding Exponents

An exponent indicates how many times a base number is multiplied by itself. For example, 2³ = 2 × 2 × 2 = 8. Exponents are fundamental in mathematics, science, and engineering.

Types of Exponents

Different types of exponents:

Positive integers: 2³ = 8 (multiply base by itself)
Zero exponent: Any number⁰ = 1 (except 0⁰ which is undefined)
Negative exponents: 2⁻³ = 1/2³ = 1/8 (reciprocal of positive exponent)
Fractional exponents: 8^(1/3) = ∛8 = 2 (roots)
Decimal exponents: 2^1.5 = 2√2 ≈ 2.83

How to Use This Calculator

Follow these simple steps to get accurate results:

Enter your base
Enter your exponent
Click the "Calculate" button to see your results
Review the detailed breakdown and explanation

Why Use Our Exponent Calculator – Powers and Roots?

100% free and no registration required
Instant, accurate calculations with professional formulas
Mobile-friendly design that works on any device
Privacy-focused - your data never leaves your browser
Educational content to help you understand the results

Frequently Asked Questions

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