Precalcus question??????

Question

Need help, very confused.

Simplify the expression, and rationalize the denominator when appropriate.

5 square roots of ((8x^3)/y^4)

multipied by 5 square roots of ((4x^4)/y^2)

Answer 1

5sqrt(8x^3 / y^4) x 5sqrt(4x^4 / y^2)

You can combine the sqrt roots

= 5sqrt(32x^7 / y^6)

The fifth root of 32 is 2

= 2(5sqrt(x^7 / y^6)

= 2(5sqrt((x^5)(x^2) / (y^5)(y))

Since 5th root of x^5 and y^5 are x and y, we can take them out and put them out front

= (2x/y)(5sqrt(x^2/y))

Hope this helps you!  Please email anytime for further questions.

Answer 2

multiply the fractions

32x^7/ y^6  since it's the 5th root, you can take out five of each

2(x/y) 5th root (x^2/y)

Answer 3

Please note, that although this is a wonderful example of mathematical prowess and thus a noble exercise, it by no means enters into advanced engineering or physics.

Unless you wish to be the next math wizard, learn your maths and let these kind of problems twist in the wind;  go get a pizza and a beer.