Question

Simplify: `(2 xx 3^4 xx 2^5)/(9 xx 4^2)`

Answer 1

= `(2 xx 3^4 xx 2^5)/(3^2 xx (2^2)^2)`

= `(2 xx 2^5 xx 3^4)/(3^2 xx 2^(2 xx 2))`

= `(2^(1 + 5) xx 3^4)/(2^4 xx 3^2)`

= `(2^6 xx 3^4)/(2^4 xx 3^2)`

= 2^{6 - 4} x 3^{4 - 2}

= 2² x 3²

= 4 x 9

= 36.