Stage 24 · Exponential & Logarithmic Functions

24.1.4 What a Fractional Exponent Means

24.1 From Roots to Exponents: Completing the Power Operations

Point 4 of 6

24.1.4 What a Fractional Exponent Means

Core idea

Rooting then powering merge into a single fraction, so a to the m/n power means the n-th root of a to the m-th power.

Module goal. Building on square roots and integer powers, extend exponents to fractions so every rule of powers becomes one unified system, paving the way for exponential functions
eastmath.com · 24.1 From Roots to Exponents: Completing the Power Operations · 24.1.4 What a Fractional Exponent Means