Write the reciprocal (multiplicative inverse) of each rational number given below:

$\dfrac{-8}{-7}$

Find the reciprocal (multiplicative inverse) of:

$\dfrac{3}{5} \times \dfrac{2}{3}$

Find the reciprocal (multiplicative inverse) of:

$\dfrac{-3}{5} \times \dfrac{-1}{13}$

Verify that $(x + y) \times z = x \times z + y \times z$, if

$x = \dfrac{4}{5}, y = \dfrac{-2}{3}$ and $z = -4$