Simplify the expression
$(\frac{11}{7})^{6} \times (\frac{3}{7})^{6}$

Given: 

$(\frac{11}{7})^{6} \times (\frac{3}{7})^{6}$

To find:  We have to simplify the expression.

Solution: 

Using the law of exponent a^m x b^m = $(a \times b)^{m}$

=$(\frac{11}{7})^{6} \times (\frac{3}{7})^{6}$

= $(\frac{11}{7} \times  \frac{3}{7})^{6}$

=$ (\frac{33}{49})^{6}$

=$ (\frac{33}{49})^{6}$ 

= $\frac{1291467969}{13841287201}$

= 0.0933