Question

The value of $(0.243{)}^{0.2}\times (10{)}^{0.6}$ is

• A. $3$
• B. $9$
• C. $0.3$
• D. None of these

Answer 1

The correct option is A $3$

Now,

$(0.243{)}^{0.2}\times (10{)}^{0.6}$

$={\left(\frac{243}{1000}\right)}^{\frac{1}{5}}\times (10{)}^{\frac{3}{5}}$

$={\left(\frac{3^5}{{10}^3}\right)}^{\frac{1}{5}}\times (10{)}^{\frac{3}{5}}$

$=3\times (10{)}^{-\frac{3}{5}+\frac{3}{5}}$

$=3$.