Answer:
[tex] - \frac{19}{13} [/tex]
Step-by-step explanation:
[tex]the \: multiplicative \: inverse \: of \: \\ - \frac{13}{19} = - \frac{19}{13} [/tex]
Product of a number and its multiplicative inverse should be equal to 1.
So,
[tex] \bigg ( - \frac{13}{19} \bigg) \bigg ( - \frac{19}{13} \bigg) [/tex]
[tex]= \frac{13}{19}\times \frac{19}{13} [/tex]
[tex]=1 [/tex]
