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Exponent Calculator

Calculate any base raised to any power. x^y for integers, decimals, and fractions.

Power / Exponent

Base (x)

Exponent (y)

Result

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Exponents (Powers) — Rules & Examples

An exponent (power or index) tells you how many times to multiply a number (the base) by itself. Written as aⁿ — "a raised to the power n." Exponents are fundamental in finance (compound interest), science (scientific notation), and computing (data sizes).

Expression	Expanded Form	Result
2⁸	2×2×2×2×2×2×2×2	256
3⁵	3×3×3×3×3	243
10³	10×10×10	1,000
5⁰	Any number to power 0	1
2⁻³	1 ÷ 2³ = 1÷8	0.125

What are the laws of exponents?

Key laws: aᵐ × aⁿ = aᵐ⁺ⁿ; aᵐ ÷ aⁿ = aᵐ⁻ⁿ; (aᵐ)ⁿ = aᵐⁿ; a⁰ = 1 (for a≠0); a⁻ⁿ = 1÷aⁿ. Example: 2³ × 2⁴ = 2⁷ = 128.

How are exponents used in finance?

Compound interest uses exponents: A = P × (1 + r)ⁿ, where n is the number of periods. ₹1 lakh at 10% for 10 years = ₹1,00,000 × 1.1¹⁰ = ₹2,59,374. The power (exponent) makes compounding so powerful over long periods.