Exponent Calculator
Calculate powers, exponents, square roots, cube roots, and any nth root. Support for positive, negative, and fractional exponents.
Exponent Result
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Result
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calculated value
Scientific Notation
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e format
📐 Details:
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Exponent: -
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Base: -
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Calculation: -
Understanding Exponents
Exponent (Power): 2³ means 2 × 2 × 2 = 8. The small number (3) is the exponent.
Square Root: √9 = 3, because 3² = 9. Asks "what number multiplied by itself equals 9?"
Cube Root: ∛8 = 2, because 2³ = 8. The third root.
Negative Exponent: 2⁻² = 1/(2²) = 1/4 = 0.25
Fractional Exponent: 8^(1/3) = ∛8 = 2. The numerator is the power, denominator is the root.
Common Powers & Roots
- 2⁵ = 32 (powers of 2 are common in computing)
- 10³ = 1000 (powers of 10 used in scientific notation)
- √4 = 2 (square root)
- ∛27 = 3 (cube root)
- 2⁻³ = 0.125 (negative exponent)
Real-World Applications
- Compound interest calculations (finance)
- Population growth modeling
- Physics equations and calculations
- Engineering and construction
- Computer science (binary, powers of 2)