Stage 24 · Exponential & Logarithmic Functions

24.1.3 Turning Radicals into Fractional Exponents

24.1 From Roots to Exponents: Completing the Power Operations

Point 3 of 6

24.1.3 Turning Radicals into Fractional Exponents

Core idea

Taking a root is like raising to half or a third of a power, so a square root becomes a^(1/2) and an n-th root becomes a^(1/n).

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 · 24.1.3 Turning Radicals into Fractional Exponents