Question

Simply the product -7x/5y * 5x/-7

Answer 1

-7x/5y * 5x/-7
= x^2/y

(-) times(-) = positive
and canceled out 7, 5
so answer is
x^2/y

Answer 2

We are asked to simplify the expression
`(-7x)/(5y) \cdot (5x)/(-7)`,

what we do is, we form a single fraction where the numerator is the product of the numerators, and the denominator is the product of the denominators, that is:


`(-7x)/(5y) \cdot (5x)/(-7)= (-7\cdot5 \cdot x \cdot x)/(5 \cdot(-7) \cdot y)`

simplify the common numbers and terms in the numerator and denominator:


`(-7\cdot5 \cdot x \cdot x)/(5 \cdot(-7) \cdot y)=(5 \cdot x \cdot x)/(5 \cdot y)=(x \cdot x)/(y)= ( x^(2) )/(y)`


Answer:
`( x^(2) )/(y)`