Question

Which expression is equivalent to...

Answer 1

C

Explanation:

Use exponents property:

`(x^a)/(x^b)=x^(a-b)`

1. Note that

`(x^7)/(x^(11))=x^(7-11)=x^(-4)=(1)/(x^4)`

and

`(y^6)/(y^8)=y^(6-8)=y^(-2)=(1)/(y^2)`

2. Now

`\sqrt{(55x^7y^6)/(11x^(11)y^8)}=\sqrt{(5)/(x^4y^2)}=(√(5))/(√(x^4)√(y^2))=(√(5))/(x^2y)`

because
`x>0,\ y>0`