One more quick math question.
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One more quick math question.

[From: ] [author: ] [Date: 12-04-26] [Hit: ]
we merge the cuberoots,...= -2 * cuberoot(2x^2*y^2 * 15*x^5*y).= -2 * cuberoot(30* x^7 * y^3).......
Multiply and simplify. Assume that all variables are positive.

-(3)√2x^2y2 * 2(3)√15x^5y

the two 3 in () are supposed to be the cubed root

-
-(3)√2x^2y2 * 2(3)√15x^5y
so we have
-cuberoot(2x^2*y^2) * 2 * cuberoot(15*x^5*y)
= -2 * cuberoot(2x^2*y^2) * cuberoot(15*x^5*y). So far we've just written it out. We haven't done any serious simplifications yet.

So now:

we merge the cuberoots, giving us
...= -2 * cuberoot(2x^2*y^2 * 15*x^5*y).
= -2 * cuberoot(30* x^7 * y^3).

We can take out the y^3 from the cuberoot; in the process it becomes a y:
...= -2 * y * cuberoot(30* x^7).

Similarly, x^7=x^3*x^3*x, so we take out x^3*x^3:
...= -2 * x*x* y * cuberoot(30).

The final answer is
...= -2*cuberoot(30) * x^2 * y!
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