Exponent Calculator

How to Calculate Exponents

Exponents, also known as powers, are a way of expressing repeated multiplication. When we write a number with an exponent, we're indicating how many times the base number should be multiplied by itself.

Formula

The general formula for exponents is:

\[ a^x = a \times a \times a \times \ldots \text{ (x times)} \]

Where:

• a is the base (the number being multiplied)
• x is the exponent (how many times the base is multiplied by itself)

Calculation Steps

1. Identify the base (a) and the exponent (x).
2. Multiply the base by itself as many times as the exponent indicates.
3. Perform the multiplications step by step.
4. The final product is the result of the exponentiation.

Example

Let's calculate 2⁴:

1. \[ 2^1 = 2 \]
2. \[ 2^2 = 2 \times 2 = 4 \]
3. \[ 2^3 = 2 \times 2 \times 2 = 8 \]
4. \[ 2^4 = 2 \times 2 \times 2 \times 2 = 16 \]

Therefore, 2⁴ = 16.

Visual Representation

This diagram illustrates the step-by-step multiplication process for calculating 2⁴.