Skip to content

Exponent Calculator

Calculate powers, roots, exponentials, and logarithms. Solve xⁿ, ⁿ√x, eˣ, and log expressions.

Exponent Operations

This calculator handles powers, roots, exponentials, and logarithms.

Power (xⁿ)

Multiply the base by itself n times.

  • 2⁴ = 2 × 2 × 2 × 2 = 16
  • 10³ = 10 × 10 × 10 = 1000
  • 5⁰ = 1 (any number to power 0 is 1)

Root (ⁿ√x)

Find what number multiplied n times gives x.

  • √16 = 4 (because 4² = 16)
  • ∛27 = 3 (because 3³ = 27)

Exponential (eˣ)

e ≈ 2.71828 raised to the power x. Used in growth and decay formulas.

Logarithm

log₁₀(x) asks: "10 to what power equals x?"

  • log(100) = 2 (because 10² = 100)
  • log(1000) = 3 (because 10³ = 1000)

Related Calculators

Percentage Calculator

Calculate percentages instantly. Find what percent of a number is, percentage increase/decrease, and more.

Fraction Calculator

Add, subtract, multiply, and divide fractions. Get results as simplified fractions, mixed numbers, and decimals.

Average Calculator

Calculate mean, median, mode, range, and standard deviation. Complete statistics for any data set.

Ratio Calculator

Simplify ratios, solve proportions, and scale ratios. Convert between ratios, decimals, and percentages.

Square Root Calculator

Calculate square roots, cube roots, and nth roots. Simplify radicals and identify perfect squares.

Scientific Calculator

Full scientific calculator with trigonometry, logarithms, exponents, and memory functions.

Frequently Asked Questions

What is an exponent?

An exponent tells you how many times to multiply a number by itself. 2³ means 2 × 2 × 2 = 8.

What is a negative exponent?

A negative exponent means divide instead of multiply. 2⁻³ = 1/2³ = 1/8 = 0.125.

What is e (Euler's number)?

e ≈ 2.71828 is a mathematical constant used in exponential growth, compound interest, and calculus.

What is a logarithm?

Logarithm is the inverse of exponentiation. log₁₀(100) = 2 because 10² = 100.