Question

Simplify:
$\frac{{\left(6.25\right)}^{\frac{1}{2}}\times {\left(0.0144\right)}^{\frac{1}{2}}+1}{{\left(0.027\right)}^{\frac{1}{3}}\times {\left(81\right)}^{\frac{1}{4}}}$

• A. $0.14$
• B. $1.4$
• C. $1$
• D. $1.\overline{4}$

Answer 1

The correct option is D $1.\overline{4}$

Given exp $=\frac{{\left({\left(2.5\right)}^2\right)}^{\frac{1}{2}}\times {\left({\left(0.12\right)}^2\right)}^{\frac{1}{2}}+1}{{\left({\left(0.3\right)}^3\right)}^{\frac{1}{3}}\times {\left(3^4\right)}^{\frac{1}{4}}}$
$=\frac{2.5\times 0.12+1}{0.3\times 3}$
$=\frac{0.3+1}{0.9}=\frac{1.3}{0.9}=\frac{13}{9}=1.\overline{4}$