Question

Solve $(4{)}^{0.5}\times (0.5{)}^4$

Answer 1

$(4{)}^{0.5}\times (0.5{)}^4$

$\Rightarrow (4{)}^{\frac{5}{10}}\times (0.5{)}^4$ (using power's rule)

$\Rightarrow (4{)}^{\frac{1}{2}}\times {\left(\frac{5}{10}\right)}^4$

$\sqrt{4}\times {\left(\frac{1}{2}\right)}^4$

$\Rightarrow 2\times \frac{1}{2^4}$

$\Rightarrow \frac{1}{2^3}=\frac{1}{8}$.