​ Simplify: (i) 2^(3/2).2^(1/5) (ii) ​(1/3^3)^7

Question

Simplify:

(i) \(2^{\frac{2}{3}} . 2^{\frac{1}{5}}\)

(ii) \((\frac{1}{3^3})^7\)

(iii) \(\frac{11^{\frac{1}{2}}}{11^{\frac{1}{4}}}\)

(iv) \(7^\frac{1}{2}. 8^{\frac{1}{2}}\)

Answer 1

∵ (a x b)^m = a^m x b^m