Exponent Calculator

Calculate exponents and powers instantly. Get accurate results with step-by-step explanations and learn the mathematics behind exponentiation.

Calculate Exponents

Exponentiation Result

Result
8
2³ = 8

Common Powers

2¹ = 2
2² = 4
2³ = 8
2⁴ = 16
2⁵ = 32
3² = 9
3³ = 27
4² = 16
5² = 25
10² = 100

Understanding Exponents

Exponents represent repeated multiplication. For example, 2³ means 2 × 2 × 2 = 8. Exponents are fundamental in mathematics and appear in many areas including algebra, calculus, and scientific notation.

Exponent Rules

Applications of Exponents

Scientific Notation: Large and small numbers are expressed using powers of 10. For example, 6.02 × 10²³ represents Avogadro's number.

Compound Interest: Financial calculations use exponential growth formulas to calculate compound interest over time.

Population Growth: Exponential models describe population growth, bacterial growth, and other natural phenomena.

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Frequently Asked Questions About Exponents

What is 2 to the power of 3?

2 to the power of 3 (2³) equals 8. This means 2 × 2 × 2 = 8. The exponent 3 tells us to multiply 2 by itself 3 times.

What happens when the exponent is 0?

Any non-zero number raised to the power of 0 equals 1. For example, 5⁰ = 1, 100⁰ = 1. This is a fundamental rule of exponents.

Is the exponent calculator free to use?

Yes, our exponent calculator is completely free to use. No registration or download required. Calculate exponents instantly with accurate results and step-by-step explanations.