Question

The value of $(0.000064{)}^{5/4}\times (0.04{)}^{5/4}$ is

• A. $2^{10}{.0}^{10}$
• B. $2^{10}{.10}^{-10}$
• C. $2^{-10}{.10}^{10}$
• D. None of these

Answer 1

The correct option is B $2^{10}{.10}^{-10}$

$(0.000064{)}^{\frac{5}{4}}\times (0.04{)}^{\frac{5}{4}}$

$={\left\{(64\times {10}^{-6}\times 4\times {10}^{-2})\right\}}^{\frac{5}{4}}$

$={\left(2^6\times 2^2\times {10}^{-8}\right)}^{\frac{5}{4}}$

$=2^{8\times \frac{5}{4}}\times {10}^{-8\times \frac{5}{4}}$

$=2^{10}\times {10}^{-10}$