SOLUTION: For all nonzero y and z, (y^2*10^-4)*(z*1,000,000)/(y*0.0001)*(z*10^6) is equal to which of the following? My choices are 1/2, 1, 10, yz and y^4/z^5

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Question 1141806: For all nonzero y and z, (y^2*10^-4)*(z*1,000,000)/(y*0.0001)*(z*10^6) is equal to which of the following?
My choices are 1/2, 1, 10, yz and y^4/z^5
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


None of the answer choices in anywhere close to right, because you didn't use parentheses correctly.

(y^2*10^-4)*(z*1000000)/(y*0.0001)*(z*10^6)

Each expression in parentheses is a single number. The operations in the expression, left to right, are multiply, divide, and multiply. Those operations have equal priority; they are performed in order, left to right.

%28y%5E2%2A10%5E-4%29%2A%28z%2A1000000%29+=+%281000000z%29%2A%28.0001y%5E2%29
%28%281000000z%29%2A%28.0001y%5E2%29%29%2F%28y%2A0.0001%29+=+1000000yz
1000000yz%2A%28z%2A10%5E6%29+=+y%28z%2A10%5E6%29%2A%28z%2A10%5E6%29+=+yz%2A10%5E12

The expression you probably meant to show is

(y^2*10^-4)*(z*1000000)/((y*0.0001)*(z*10^6)), or

%28y%5E2%2A10%5E-4%29%2A%28z%2A1000000%29%2F%28%28y%2A0.0001%29%2A%28z%2A10%5E6%29%29

In this (probably) correct form, it is easy to see that the expression is equal to just "y".

But that is not one of your answer choices; so it appears the problem is flawed, or you have not shown it correctly.