Exponent Calculator
Understanding Exponents
Exponentiation is a mathematical operation, written as xʸ, involving two numbers: the base (x) and the exponent or power (y).
Positive Integer Exponents
When the exponent is a positive integer, it represents repeated multiplication of the base.
$$ x^y = \underbrace{x \times x \times \cdots \times x}_{y \text{ times}} $$
Zero Exponent
Any non-zero number raised to the power of 0 is 1.
$$ x^0 = 1 \quad (\text{for } x \neq 0) $$
Negative Exponents
A negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent.
$$ x^{-y} = \frac{1}{x^y} $$
Fractional Exponents (Roots)
An exponent of 1/y is equivalent to taking the y-th root of the base.
$$ x^{1/y} = \sqrt[y]{x} $$
Raise any number to a power.
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