equivalent expressions that have the lcd

Question

7/10y^2,x/5y^6

Answer 1

If we're asking what is the LCD for these fractions? then:

10y^2 = 2 * 5 * y * y

5y^6 = 5 * y * y * y * y * y * y

The LCD is like a parts list with enough parts to make 10y^2 or 5y^6.  In this case the parts list is 2 * 5 * y * y * y * y * y * y because that list has enough parts to make 10y^2 or 5y^2.

2 * 5 * y * y * y * y * y * y = 10y^6

Answer:  The LCD of 7/10y^2 and x/5y^6 is 10y^6.