Question

Help!! This is urgent. I don’t get this

If M^6+3/Y and M^5=Y^2/6 then which of the following expresses M in terms of Y?
A) 18/Y^3
B) Y^3/18
C) Y/2
D) 2/Y

Answer 1

I'm going to be making the following assumptions

Assumption 1) The expression M^6+3/Y should be M^6 = 3/Y

Assumption 2) For the equation M^5 = Y^2/6, only the 2 is in the exponent. So it should be written as M^5 = (Y^2)/6

If any of those assumptions are incorrect, then please let me know

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Based on those assumptions, we can divide M^6 over M^5 to get...
(M^6)/(M^5) = M^(6-5) = M^1 = M

So in short, (M^6)/(M^5) = M

We can also say
(M^6)/(M^5) = (3/Y) divided by (Y^2)/6
(M^6)/(M^5) = (3/Y)*(6/(Y^2))
(M^6)/(M^5) = (3*6)/(Y*Y^2)
(M^6)/(M^5) = 18/(Y^3)

Therefore,
M = 18/(Y^3)

So the answer is choice A assuming choice A is saying 18 over Y^3
(again this all hinges on if the assumptions above are correct)