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Exponent Calculator

Calculate powers, exponents, roots, and scientific notation instantly. Get step-by-step solutions and learn exponent rules.

Enter Values

23 = 8
Base
Exponent
Square (x²)
Cube (x³)
x⁴
x⁵
x¹⁰
Square Root (√x)
Reciprocal (1/x)
x⁻²

Calculation Results

2 3
=
8
8
2³ = 8

Calculation Steps

For 2 raised to the power of 3:
2³ = 2 × 2 × 2
= 4 × 2
= 8

Exponent Properties

Base Number

The number being multiplied. In 2³, 2 is the base.

Exponent

Shows how many times the base is multiplied by itself. In 2³, 3 is the exponent.

Power

The result of the exponentiation. In 2³ = 8, 8 is the power.

Calculation

2³ means 2 × 2 × 2 = 8. The base is multiplied by itself exponent times.

Exponent Rules

Product Rule

aᵐ × aⁿ = aᵐ⁺ⁿ

When multiplying powers with the same base, add the exponents.

Quotient Rule

aᵐ ÷ aⁿ = aᵐ⁻ⁿ

When dividing powers with the same base, subtract the exponents.

Power Rule

(aᵐ)ⁿ = aᵐˣⁿ

When raising a power to another power, multiply the exponents.

Power of Product

(ab)ⁿ = aⁿ × bⁿ

The power of a product is the product of the powers.

Power of Quotient

(a/b)ⁿ = aⁿ ÷ bⁿ

The power of a quotient is the quotient of the powers.

Zero Exponent

a⁰ = 1 (where a ≠ 0)

Any non-zero number raised to the power of 0 equals 1.

Negative Exponent

a⁻ⁿ = 1 ÷ aⁿ

A negative exponent means the reciprocal of the positive power.

Fractional Exponent

a^(m/n) = ⁿ√(aᵐ)

A fractional exponent represents a root. The numerator is the power, denominator is the root.

Why Use Our Exponent Calculator?

Instant Calculation

Calculate exponents, roots, and scientific notation instantly with accurate results.

Multiple Calculation Types

Calculate exponents, nth roots, scientific notation, and understand different exponent rules.

Step-by-Step Solutions

See detailed calculation steps to understand how the result was obtained.

Visual Representation

Visualize exponent calculations with clear mathematical notation and diagrams.

Educational Tool

Perfect for students, teachers, and anyone learning about exponents and powers.

Mobile Friendly

Works perfectly on all devices including smartphones, tablets, and desktop computers.