Question

How do you simplify `\frac { ( x y ) ^ { 2} } { x ^ { 2} y ^ { 2} }`?

Answer 1

The answer is `1`

Explanation:

First,simplify the numerator:
`(xy)^2`=`(xy)` `(xy)` (This is a longer way to do it)
To multiply bases, add their exponents,so
(`x^(1+1)`)(`y^(1+1)`)=(`x^2` `y^2`)
OR
Just multiply the exponents inside the parantheses by the exponent outside the parantheses,i.e. `(`xy`)^2`=(`x^(1*2)`)(`y^(1*2)`)=(`x^2` `y^2`)

Next, divide the numerator by the denominator. In this case, the denominator and numberator are the same. So recall, `x/x`=1. Therefore, the answer=`1`