Question

Simplify:
${\left(\frac{1}{2}\right)}^5{-\left(\frac{3}{2}\right)}^3$

Answer 1

Let $a={\left(\frac{1}{2}\right)}^5-{\left(\frac{3}{2}\right)}^3$

$=\frac{1}{2^5}-{\left(\frac{3}{2}\right)}^3$

$=\frac{1}{32}-\frac{27}{8}$

$=\frac{1-108}{32}$

$a=\frac{-107}{32}$

$\therefore {\left(\frac{1}{2}\right)}^5-{\left(\frac{3}{2}\right)}^3=\frac{-107}{32}$