How we will do ques 4

Dear student

We have, 5^{\frac{1}{4}} \times {(125)}^{0.25} = 5^{\frac{1}{4}} \times {(125)}^{\frac{25}{100}} = 5^{\frac{1}{4}} \times {(125)}^{\frac{1}{4}} = 5^{\frac{1}{4}} \times {(5^{3})}^{\frac{1}{4}} = 5^{\frac{1}{4}} \times 5^{\frac{3}{4}} [∵ {(a^{m})}^{n} = a^{mn}] = 5^{\frac{1}{4} + \frac{3}{4}} [∵ a^{m} a^{n} = a^{m + n}] = 5^{1} = 5

Regards