What’s the least common denominator for 1/6 and 7/8?

24

Step-by-step explanation:

Here's how we construct the LCD:

Factor the denominators 6 and 8:  6 = 2*3 and 8 = 2*2*2

The LCD involves 2*2*2 as well as 3:

LCD:  2*2*2*3 = 24.  Note that 24 is divisible by both 6 and 8.  There is no smaller LCD that is divisible by 6 and 8 both.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5