Question

Write the meanings of the following index numbers:

(1) ${36}^{\frac{1}{2}}$
(2) ${27}^{\frac{1}{3}}$
(3) ${17}^{\frac{1}{2}}$
(4) ${20}^{\frac{1}{3}}$
(5) ${256}^{\frac{1}{4}}$
(6) $1^{\frac{1}{5}}$
(7) ${10}^{\frac{1}{5}}$
(8) ${45}^{\frac{1}{6}}$

Answer 1

(1) ${36}^{\frac{1}{2}}$ means square root of 36.
(2) ${27}^{\frac{1}{3}}$ means cube root of 27.
(3) ${17}^{\frac{1}{2}}$ means square root of 17.
(4) ${20}^{\frac{1}{3}}$ means cube root of 20.
(5) ${256}^{\frac{1}{4}}$ means fourth root of 256.
(6) $1^{\frac{1}{5}}$ means fifth root of 1.
(7) ${10}^{\frac{1}{5}}$ means fifth root of 10.
(8) ${45}^{\frac{1}{6}}$ means sixth root of 45.