Fractional indices are a way to express roots. The denominator of the fraction indicates the root, and the numerator indicates the power.
▸ Fractional Index Law — a^(1/n) = nth root of a, and a^(m/n) = (nth root of a)^m. The general form lets you take the root first (usually easier), then raise to the power.
Example: 64^(1/2) = √64 = 8. Also, 16^(3/4) = (fourth root of 16)^3 = 2^3 = 8.
★ Real-world — Calculating Roots:
To evaluate 27^(2/3), we first find the cube root of 27, which is 3. Then we square it: 3^2 = 9. So, 27^(2/3) = 9.
Audio narration — reads aloud, works offline
In your own words, summarise the main idea of this lesson.