Which of the following is an equivalent expression of $\frac{{10}^6\times 9^2}{6^4}$ ?

The correct option is A $2^2\times 5^6$
Given expression: $\frac{{10}^6\times 9^2}{6^4}$

$=\frac{(2\times 5{)}^6\times (3^2{)}^2}{(2\times 3{)}^4}$

$=\frac{2^6\times 5^6\times 3^4}{2^4\times 3^4}$

$=2^{6-4}\times 5^6\times 3^{4-4}$

$=2^2\times 5^6$