Question

if a÷b=(9/7)^-3÷(3/7) find (a/b)^2​

Answer 1

$\frac{a}{b} = (\frac{9}{7})^{ - 3} \div \frac{3}{7}$
$\frac{a}{b} = (\frac{9}{7})^{ - 3} \times \frac{7}{3}$
$\frac{a}{b} = (\frac{7}{9})^{ 3} \times \frac{7}{3}$
$\frac{a}{b} = (\frac{{7}^{3} }{ ({3}^{2})^3 }) \times \frac{7}{3}$
$\frac{a}{b} = \: \frac{{7}^{4}}{ {3}^{7} }$
$(\frac{a}{b})^{2} = \: \frac{{7}^{8}}{ {3}^{14} }$