Question

The value of${\left[{\left(\frac{1}{2}\right)}^3\right]}^2$ equal to _______.

Answer 1

Find the value of${\left[{\left(\frac{1}{2}\right)}^3\right]}^2$

By using the law of exponent${\left({\mathrm{a}}^{\mathrm{m}}\right)}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{mn}}$

$\begin{array}{rcl}{\left[{\left(\frac{1}{2}\right)}^3\right]}^2& =& {\left(\frac{1}{2}\right)}^{3\times 2}\\ & =& {\left(\frac{1}{2}\right)}^6\end{array}$

$\therefore$The value of${\left[{\left(\frac{1}{2}\right)}^3\right]}^2$ is equal to${\left(\frac{1}{2}\right)}^6$