Exponents Calculator - Calculate x^y
Result:
Welcome to our Exponents Calculator. This tool calculates exponential values, computing x raised to the power of y (x^y) for any base and exponent combination.
What are Exponents?
Exponents represent repeated multiplication. x^y means x multiplied by itself y times.
Understanding Exponents
Exponents follow specific rules and patterns:
Exponent Rules
x^0 = 1 (any number to power 0)
x^1 = x (any number to power 1)
x^(-n) = 1/x^n (negative exponents)
x^(1/n) = ⁿ√x (fractional exponents)
Special Cases
2^3 = 8 (2 × 2 × 2)
5^2 = 25 (5 × 5)
10^-2 = 0.01 (1/100)
9^(1/2) = 3 (square root)
Applications of Exponents
- Scientific notation: 3.2 × 10^8
- Compound interest: A = P(1 + r)^t
- Population growth: Exponential models
- Computer science: Powers of 2
Examples
Positive Integer
3^4 = 81
3 × 3 × 3 × 3Negative Exponent
2^(-3) = 0.125
1/(2^3) = 1/8Fractional
8^(1/3) = 2
Cube root of 8Find Calculator
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