CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

Simplify

(8a^{\frac{2}{3}} b^{-\frac{1}{4}})^{\frac{3}{4}} \div 2^{\frac{1}{2}} a^{-\frac{1}{2}} b^{\frac{3}{4}}

. (a)

2^{\frac{5}{4}}\,a\,b^{-\frac{15}{16}}

(b)

2^{\frac{7}{4}}\,a\,b^{-\frac{15}{16}}

(c)

2^{\frac{7}{4}}\,a^{-1}\,b^{-\frac{15}{16}}

(d)

2^{\frac{7}{4}}\,a\,b^{\frac{15}{16}}