Exponent Calculator
Calculate powers and exponents
Frequently Asked Questions
How does the Exponent Calculator work?
Enter a base number and an exponent. The calculator computes base^exponent. For example, 2^10 = 1,024. It handles positive, negative, and fractional exponents, as well as very large results using scientific notation.
What are negative exponents?
A negative exponent means the reciprocal of the positive exponent: a^(-n) = 1/a^n. For example, 2^(-3) = 1/2^3 = 1/8 = 0.125. Negative exponents are common in scientific notation and decay formulas.
What is a fractional exponent?
A fractional exponent represents a root: a^(1/n) = ⁿ√a. For example, 27^(1/3) = ³√27 = 3. The exponent 3/2 means cube then square root, or equivalently square root then cube: 4^(3/2) = (√4)³ = 8.
What are the laws of exponents?
Key rules: a^m × a^n = a^(m+n), a^m / a^n = a^(m-n), (a^m)^n = a^(mn), a^0 = 1 (for a≠0), and (ab)^n = a^n × b^n. These rules simplify complex exponential expressions.
How are exponents used in real life?
Exponents appear in compound interest (A = P(1+r)^t), population growth, radioactive decay (half-life), computer science (binary: 2^n), and physics (inverse square law). Understanding exponents is essential for financial planning and scientific calculations.