Question

Simplify and express the Solution in the positive exponent form:

`(36 xx (-6)^2 xx 3^6)/(12^3 xx 3^5)`

Answer 1

`(36 xx (-6)^2 xx 3^6)/(12^3 xx 3^5)`

`= (6 xx 6 xx (-6)^2 xx 3^6)/(3^3 xx 4^3 xx 3^5)`

`= ((6)^2 (-6)^2 xx 3^(6-3-5))/4^3`

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

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

`= (6 xx 6 xx -6 xx -6)/(3 xx 3 xx 4 xx 4 xx 4)`

`= 9/4 = (3/2)^2`