Number Systems — Question 1

(i) $\left(64^{\smash{\frac{1}{2}}} \right)$

= (8²) ^1/2

= 8

Hence, $\left(64^{\smash{\frac{1}{2}}} \right)$ = 8

(ii) $\left(32^{\smash{\frac{1}{5}}} \right)$

= (2⁵) ^1/5

= 2

Hence, $\left(32^{\smash{\frac{1}{5}}} \right)$ = 2

(iii) $\left(125^{\smash{\frac{1}{3}}} \right)$

= (5³) ^1/3

= 5

Hence, $\left(125^{\smash{\frac{1}{3}}} \right)$ = 5