(i) Simplify the expression (0.5 ,a^ -3 b^ 2 )^ -2 (4a ,b^ -5 )^ 3 . (ii) Using your…

MATHEMATICS · Subjective · CBSE · Mathematics · Number Systems · Number Systems

Problem

(i) Simplify the expression

(0.5\,a^{-3}b^{2})^{-2}\times(4a\,b^{-5})^{3}.

(ii) Using your simplified form, find the numerical value of the expression when

a=2

and

b=\dfrac12

. Write each answer with positive exponents only.