Question

6^7/2^3×3^7= how to solve that type of questions​

Answer 1

$\frac{ {6}^{7} }{ {2}^{3} \: \times {3}^{7} }$

$= \frac{ {(2 \times 3)}^{7} }{ {2}^{3} \times {3}^{7} }$

$= \frac{ {2}^{7} \times {3}^{7} }{ {2}^{3} \: \times {3}^{7} }$

$= ( \frac{ {2}^{7} }{ {2}^{3} } ) \times ( \frac{ {3}^{7} }{ {3}^{7} } )$

$= {2}^{(7 - 3)} \times {3}^{(7 - 7)}$

$= {2}^{4} \times {3}^{0}$

$= {2}^{4} \times 1$

$= 16 \times 1$

$= 16 \: (ans)$