Answer:[tex]\frac{(24qrst^{5}+qrsty^{7})\sqrt{6x^{3}+y^{4} } }{6x^{3}+y^{4}}[/tex]
Step-by-step explanation:
First, I would reorder [tex](6x ^ 3 * y ^ 4) ^ (1/2)[/tex] into [tex]\sqrt {6x^{3}+yx^{4}[/tex]
then you would need to multiply the parentheses by qrst
[tex]\frac{24qrstxx^{5}+qrstyx^{7} }{6x^{3}+yx^{4}}[/tex]
Then multiply the fractions
[tex]\frac{24qrst^{5}+qrsty^{7} }{6x^{3}+y^{4}}[/tex] x [tex]\frac{6x^{3}+y^{4} }{6x^{3} + y^{4} }[/tex]
You should then have something that looks like this
[tex]\frac{(24qrst^{5}+qrsty^{7})\sqrt{6x^{3}+y^{4} } }{\sqrt}6x^{3}+y^{4 }{\sqrt}6x^{3}+y^{4 }[/tex]
Then that's basically the answer