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Which expression is equivalent to...

Which expression is equivalent to...-example-1

1 Answer

1 vote

Answer:

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

User PeteShack
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