Simplify : [(2 10/27)^(-2/3) ÷ (11 1/9)^(-0.5)]+[(6.25)^(0.5) ÷ (-4)^-1]

Question

Simplify :

\(\bigg[\big(2\frac{10}{27}\big)^{-\frac23}÷ \big(11\frac19\big)^{-0.5}\bigg]+\big[(6.25)^{0.5}÷(-4)^{-1}\big]\)

(a) \(-8\frac18\)

(b) \(8\frac18\)

(c) \(1\frac78\)

(d) \(-1\frac78\)

Answer 1

(a) \(-8\frac18\)

Given exp.

= \(\frac{15}{8}-10=\frac{15-80}{8}=\frac{-65}{8}=\)\(-8\frac18.\)