Question

Mark (✓) against the correct answer
${\left(\frac{-5}{3}\right)}^{-1}=?$

(a) $\frac{3}{5}$
(b) $\frac{-3}{5}$
(c) $\frac{5}{3}$
(d) $\frac{-5}{3}$

Answer 1

(b) $\frac{-3}{5}$

${\left(\frac{-5}{3}\right)}^{-1}={\left(\frac{3}{-5}\right)}^1$ $\left[s\mathrm{ince}{\left(\frac{a}{b}\right)}^{-n}={\left(\frac{b}{a}\right)}^n\right]$
= $\left(\frac{3}{-5}\times \frac{-1}{-1}\right)=\frac{-3}{5}$