Math
Rational exponents.
Definition
Exponents that are fractions, where the numerator indicates the power and the denominator indicates the root. They provide an alternative notation for radicals.
Examples
Real-world.
- 1 8^(2/3) = (∛8)² = 2² = 4
- 2 x^(1/2) = √x
- 3 27^(-1/3) = 1/∛27 = 1/3
Key Fact
x^(m/n) = ⁿ√(xᵐ) = (ⁿ√x)ᵐ