Exponent Calculator

Calculate base raised to a power (bⁿ)

Base (b)

Exponent (n)

How to Calculate Exponents

Enter the Base

Input the base number that will be multiplied by itself.

Enter the Exponent

Specify the power to raise the base to (how many times to multiply).

Get the Result

Instantly see the calculated value of base raised to the exponent power.

Why Use This Exponent Calculator?

✓Handle Any Exponent

Calculate positive, negative, and decimal exponents with precision.

✓Instant Results

Get exponentiation results immediately without manual calculation.

✓Large Number Support

Handle very large results that would be tedious to calculate by hand.

✓Educational Tool

Perfect for students learning about powers and exponential notation.

Exponent Rules Reference

Basic Rules:

• bⁿ = b × b × ... × b (n times)
• b⁰ = 1 (any non-zero base)
• b¹ = b
• b⁻ⁿ = 1/bⁿ

Operation Rules:

• bᵐ × bⁿ = bᵐ⁺ⁿ
• bᵐ ÷ bⁿ = bᵐ⁻ⁿ
• (bᵐ)ⁿ = bᵐˣⁿ
• (ab)ⁿ = aⁿbⁿ

Examples:

• 2³ = 2 × 2 × 2 = 8
• 5² = 5 × 5 = 25
• 10⁰ = 1
• 2⁻³ = 1/2³ = 1/8 = 0.125

Frequently Asked Questions About Exponents

What is an exponent?

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

What happens when the exponent is 0?

Any non-zero number raised to the power of 0 equals 1. This is because b⁰ = bⁿ ÷ bⁿ = 1 for any non-zero b.

How do negative exponents work?

A negative exponent means taking the reciprocal: b⁻ⁿ = 1/bⁿ. For example, 2⁻³ = 1/2³ = 1/8.

Can exponents be decimals?

Yes, decimal exponents represent roots combined with powers. For example, x⁰·⁵ = √x (square root) and x¹·⁵ = x × √x.

What is the difference between power and exponent?

The exponent is the small number indicating the power. The power is the result of the operation. In 2³ = 8, 3 is the exponent, and 8 is the power.

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