Exponent Calculator

Calculate the power of a number raised to an exponent.

Calculator

Enter Base and Exponent

Enter the base number (e.g., 2)

Enter the exponent (e.g., 3)

Table of Contents

1 Exponent Formula
2 How to Calculate Exponents
3 Exponents - Practical Examples
Concept

Exponent Formula

An exponent represents how many times a number (the base) is multiplied by itself. The general form is:

Formula:
bⁿ = b × b × ... × b (n times)
Steps

How to Calculate Exponents

To calculate an exponent, follow these steps:

  1. 1
    Identify the base number and the exponent
  2. 2
    Multiply the base number by itself the number of times indicated by the exponent
  3. 3
    For negative exponents, take the reciprocal of the positive exponent
  4. 4
    For fractional exponents, use the root function

For example, to calculate 2³:

Example Calculation:
2³ = 2 × 2 × 2 = 8
Examples

Exponents - Practical Examples

Example 1 Compound Interest

Calculate the future value of an investment with compound interest.

Future Value = Principal × (1 + Rate)^Time

Example 2 Population Growth

Calculate population growth over time using exponential growth.

Population = Initial Population × (1 + Growth Rate)^Years

Example 3 Area of a Square

Calculate the area of a square using the side length.

Area = Side Length²

Tools

Mathematics Calculators

Geometric Mean Decimal To Fraction Mode Lcm Harmonic Mean

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