Answer:
[tex]-\frac{21}{10}[/tex] is the required multiplicative inverse.
Step-by-step explanation:
First of all simplify the given expression.
[tex]\frac{2}{3}\cdot \frac{-5}{7}=-\frac{2\cdot \:5}{3\cdot \:7}=-\frac{10}{21}[/tex]
Multiplicative inverse of any number when multiplied gives 1.
The multiplicative inverse of [tex]-\frac{10}{21}[/tex] is [tex]-\frac{21}{10}[/tex] because:
[tex]-\frac{10}{21}\times -\frac{21}{10}=1[/tex]
Best Regards!
