Write the following in the form of 5^n: (i) 625 (ii) 1/5 (iii) √5 (iv) √125

Question

Write the following in the form of 5ⁿ: 

(i) 625

(ii) \(\frac{1}{5}\)

(iii) \(\sqrt{5}\)

(iv) \(\sqrt{125}\)

Answer 1

(i) 625 = 5⁴

(ii) \(\frac{1}{5}\) = 5^-1

(iii) \(\sqrt{5}\) = \(5^{\frac{1}{2}}\)

(iv) \(\sqrt{125}\)

\(\sqrt{5^3}=(5^3)^{\frac{1}{2}}=5^{\frac{3}{2}}\)