Question

Simplify and express the result in power notation with a positive exponent.
${\left(\frac{1}{2^3}\right)}^2$

Answer 1

Let $a={\left(\frac{1}{2^3}\right)}^2=\frac{1}{2^{3\times 2}}$

$=\frac{1}{2^6}$

$a={\left(\frac{1}{2}\right)}^6$

$\therefore {\left(\frac{1}{2^3}\right)}^2={\left(\frac{1}{2}\right)}^6$