Exponent Calculator
Raise any base to positive, negative, or decimal exponents with scientific notation output.
Power Result
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How to Calculate Exponents and Powers
- Enter the base number (x).
- Enter the exponent or power (n).
- The tool computes x raised to the power n (xⁿ) instantly, supporting negative and fractional powers.
Exponentiation Rules
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Definition:
xⁿ = x × x × ... × x(n times for positive integers). -
Zero Exponent:
x⁰ = 1(for any x ≠ 0). -
Negative Exponent:
x⁻ⁿ = 1 / xⁿ.
Examples
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2⁸ = 256(common in computer memory architecture). -
10⁴ = 10,000. -
5⁻² = 1 / 25 = 0.04.
Common Applications
- Scientific notation and compound growth calculations.
- Computer science binary addressing (powers of 2).
- Physics exponential decay and radioactive half-life modeling.
Frequently Asked Questions
Can I calculate negative powers?
Yes, negative exponents compute using inverse reciprocal powers.
What is 0 raised to the power 0?
In standard computational contexts, 0⁰ is evaluated as 1 for mathematical consistency.