Question

If ${\left(\frac{1}{5}\right)}^{3y}=0.008$, then the value of $(0.25{)}^{y/2}$ will be

• A. 1
• B. 0.5
• C. 0.25
• D. 0.125

Answer 1

The correct option is B 0.5

Given, ${(\frac{1}{5})}^{3y}=0.008$

$\therefore {0.2}^{3y}=0.008$

$\therefore {0.008}^y=0.008$

$\therefore y=1$

We have to find value of $(0.25{)}^{\frac{y}{2}}$
$\therefore {0.25}^{y/2}=\sqrt{0.25}=0.5$