Question

the product of two rational number is (-3/8×1/2÷1/2)^-1

Answer 1

here is your Answer!

Given that

the product of two rational numbers

➡
$( \frac{ - 3}{8} \times \frac{1}{2} \div \frac{1}{2} {)}^{ - 1} \\ \\ ( \frac{ - 3}{8} \times \frac{1}{2} \times \frac{2}{1} ) {}^{ - 1} \\ \\ = ( \frac{ - 3}{8} ) {}^{ - 1 } \\ \\ = ( - \frac{ 8}{3} )$
now if the one number are

=
$= (( - \frac{3}{2} {)}^{ - 1} ) {}^{ - 1} \\ \\ = ( - \frac{2}{3} ) {}^{ - 1} \\ \\ = ( - \frac{3}{2} ) {}^{ }$
now


$- \frac{3}{2} \times x = - \frac{8}{3} \\ \\ x = - \frac{8}{3} \times \frac{ - 2}{3} \\ \\ x = \frac{16}{9} \: ans$