SOLUTION: Hello, have a good day, could you please help me with this? "x^3[sqrt(x^3)](yx^2)^a/3 / (x^a)(y^2a)" I can't figure it out. Thank you.

Algebra ->  Expressions-with-variables -> SOLUTION: Hello, have a good day, could you please help me with this? "x^3[sqrt(x^3)](yx^2)^a/3 / (x^a)(y^2a)" I can't figure it out. Thank you.      Log On


   



Question 936946: Hello, have a good day, could you please help me with this?
"x^3[sqrt(x^3)](yx^2)^a/3 / (x^a)(y^2a)"
I can't figure it out.
Thank you.

Answer by AnlytcPhil(1808) About Me  (Show Source):
You can put this solution on YOUR website!
I can't tell what is over what because you don't
have enough parentheses to show.  

What you have translates as this:

x%5E3%28sqrt%28x%5E3%29%29%28yx%5E2%29%5Ea%2F3+%2F+%28x%5Ea%29%28y%5E2a%29

But I'll assume it is this:

x%5E3%28sqrt%28x%5E3%29%29%28yx%5E2%29%5E%28a%2F3%29+%2F+%28%28x%5Ea%29%28y%5E%282a%29%29%29



Add the 3 exponents of x on the top:



Combine those exponents of x on the top: 3%2B3%2F2%2B2a%2F3=18%2F6%2B9%2F6%2B4a%2F6=%2818%2B9%2B4a%29%2F6=%2827%2B4a%29%2F6 



Subtract the exponent of x on the bottom from the exponent of x on the top:

            %2827%2B4a%29%2F6-a=%2827%2B4a%29%2F6-6a%2F6=%2827%2B4a-6a%29%2F6=%2827-2a%29%2F6
            


Since you probably don't want negative exponents, subtract the exponent
of y on the top from the exponent of y on the bottom

            2a-a%2F3=6a%2F3-a%2F3=5a%2F3



Edwin