Question

(3/7)^6×(7/3)^4×(1/7^-2​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{9}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}}$

$\tt: \implies (\frac{3}{7} {)}^{6} \times ( \frac{7}{3} {)}^{4} \times \frac{ {1}^{ } }{7 } {}^{ - 2}$

$\red{\underline \bold{To \: Find :}}$

$\tt: \implies \: the \: solution \: of \: this$

Given Question

$\tt: \implies (\frac{3}{7} {)}^{6} \times ( \frac{7}{3} {)}^{4} \times \frac{ {1}^{ } }{7 } {}^{ - 2}$

$\tt: \implies\frac{ {3}^{6} }{ {7}^{6} } \times ( \frac{7}{3} {)}^{4} \times( \frac{1}{7} {)}^{ - 2}$

$\tt: \implies \frac{ {3}^{6} }{ {7}^{6} } \times \frac{2401}{81} \times ( \frac{1}{7} {)}^{ - 2}$

$\tt: \implies\frac{ {3}^{6} }{ {7}^{6} } \times \frac{2401}{81} \times {7}^{2}$

$\tt: \implies\frac{ {3}^{6} }{ {7}^{6} } \times \frac{2401}{ {3}^{4} } \times {7}^{2}$

$\tt: \implies\frac{ {3}^{6} }{ {7}^{6} } \times \frac{2401}{ {3}^{4} }$

$\tt: \implies\frac{ {3}^{6} }{ {7}^{4} } \times \frac{ {7}^{4} }{ {3}^{4} }$

$\tt: \implies \frac{ {3}^{2} }{ {7}^{4} } \times {7}^{4}$

$\tt: \implies\frac{ {3}^{6} }{ \cancel{7}^{4} } \times \frac{ \cancel {7}^{4} }{ {3}^{4} }$

$\tt: \implies{3}^{2}$

$\green{\tt{\therefore{9}}}$

Answer 2

Answer:

The given question is solved in the uploaded photo

Step-by-step explanation: