Question

`((x^(5y-3)xx x^(3-2y))/(x^(4y-6)xx x^(2y-9)))^(-4/3)=`______
A. `x^(3y+15)`
B. `x^(13-3y)`
C. `x^(4y-20)`
D. `x^(4y+18)`

Answer 1

Correct Answer - C
`((x^(5y-3)xx x^(3-2y))/(x^(4y-6)xx x^(2y-9)))^(-(4)/(3))`
`=((x^(5y-3+3-2y))/(x^(4y-6+2y-9)))^((-4)/(3))`
`((1)/(x^(6y-15)))^((-4)/3)`
`=((1)/(x^(6y-15-3y)))^((4)/3)`
`=((1)/(x^(3y-15)))^(-(4)/3)=((1)/x^(-4y+20))=x^(4y-20)`
Hence the correct option is (c).