Question

If ${\left(\frac{1}{5}\right)}^{3y}=0.008$, then $(0.25{)}^y$ will be _________.

• A. $1$
• B. $0.25$
• C. $0.0625$
• D. $0.125$

Answer 1

The correct option is B $0.25$

We know that $0.008$ is $\frac{8}{1000}={\left(\frac{1}{5}\right)}^3$.

So, given equation can be written as,

${\left(\frac{1}{5}\right)}^{3y}$ $=$ ${\left(\frac{1}{5}\right)}^3$

$\Rightarrow y=1$

Hence, $(0.25{)}^y=0.25$.

Option B is right.