Class 9 Math Exercise 1.6 | Question 1

Question 1: Find:
(i) \64^\frac{1}{2})
(ii) \32^\frac{1}{5})
(iii) \125^\frac{1}{3})

Explanatory Answer | Exercise 1.6 Question 1

Find: (i) \64^\frac{1}{2})

\64^\frac{1}{2}) = (8²)^{\\frac{1}{2})}
= 8^{(2 × \\frac{1}{2}))} = 8¹ = 8

Find: (ii) \32^\frac{1}{5})

\32^\frac{1}{5}) = (2⁵)^{\\frac{1}{5})}
= 2^{(5 × \\frac{1}{5}))} = 2¹ = 2

Find: (iii) \125^\frac{1}{3})

\125^\frac{1}{3}) = (5³)^{\\frac{1}{3})}
= 5^{(3 × \\frac{1}{3}))} = 5¹ = 5