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Answer :
We know that multiplicative inverse of a is \(\frac{1}a \qquad \)[∵ \(a ×\frac{1}a=1\)]
(i) Multiplicative inverse of \(-13=\frac{-1}{13} \qquad \)[∵ \(-13 ×\frac{-1}{13}=1\)]
(ii) Multiplicative inverse of \(\frac{-13}{19}=\frac{-19}{13} \qquad \)[∵ \(\frac{-13}{19} ×\frac{-19}{13}=1\)]
(iii) Multiplicative inverse of \(\frac{1}{5}=5 \qquad \)[∵ \(\frac{1}{5} ×5=1\)]
(iv) Multiplicative inverse of \(\frac{-5}8×\frac{-3}{7}=\frac{-8}5×\frac{-7}{3}\)
we have \(\frac{-5}8×\frac{-3}{7}=\frac{15}{56}\)
and we have the multiplicative inverse as \(\frac{-8}5×\frac{-7}{3}=\frac{56}{15}\)
∴ \(\frac{15}{56} ×\frac{56}{15}=1\)
(v) We have \(-1\frac{-2}5=\frac{2}5\)
∴Multiplicative inverse of \(\frac{2}5=\frac{5}2 \qquad \)[∵ \(\frac{2}{5} ×\frac{5}{2}=1\)]
(vi)Multiplicative inverse of \(-1=\frac{1}{-1}=-1 \qquad \)[∵ \(-1 ×\frac{1}{-1}=1\)]