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
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!
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!