Answer:
[tex]15.75x^{10}y^{19}[/tex]
Step-by-step explanation:
To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.
After applying the binomial theorem and simplifying, you should get:
[tex]512x^{18}y^{27}-576x^{16}y^{25}+288x^{14}y^{23}-84x^{12}y^{21}+\frac{63x^{10}y^{19}}{4}-\frac{63x^8y^{17}}{32}+\frac{21x^6y^{15}}{128}-\frac{9x^4y^{13}}{1024}+\frac{9x^2y^{11}}{32768}-\frac{y^9}{262144}[/tex]
Our 5th term here is: [tex]\frac{63x^{10}y^{19}}{4}[/tex] which is equal to [tex]15.75x^{10}y^{19}[/tex]
~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~
