Question

Simplify:

$\sf \: \frac{(4/7)^5 \times (2 / 3)^4 }{(4 / 9) \times (4 / 7)^ 3}$

Answer 1

$\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}$

Here's the solution ~

$\qquad \sf  \dashrightarrow \: \frac{(4/7)^5 \times (2 / 3)^4 }{(4 / 9) \times (4 / 7)^ 3}$

$\qquad \sf  \dashrightarrow \: \frac{ (\frac{4}{7}) {}^{5} }{ (\frac{4}{7} ) {}^{3} } \times \frac{( \frac{2}{3})^{4} } { \frac{4}{9} }$

$\qquad \sf  \dashrightarrow \: \frac{ (\frac{4}{7}) {}^{5} }{ (\frac{4}{7} ) {}^{3} } \times \frac{( \frac{2}{3})^{4} } { \frac{ {2}^{2} }{ {3}^{2} } }$

$\qquad \sf  \dashrightarrow \: \frac{ (\frac{4}{7}) {}^{5} }{ (\frac{4}{7} ) {}^{3} } \times \frac{( \frac{2}{3})^{4} } {( \frac{2}{3} ) {}^{2} }$

$\qquad \sf  \dashrightarrow \: ( \frac{4}{7}) {}^{2} \times ( \frac{2}{3} ) {}^{2}$

$\qquad \sf  \dashrightarrow \: \frac{16}{49} \times \frac{4}{9}$

$\qquad \sf  \dashrightarrow \: \frac{64}{441}$