Question

What will be the answer? Please show your work.

Answer 1

Answer: C) 5

Explanation:

`\displaystyle\\(x^2y^3)^(1)/(2) (x^2y^3)^(1)/(3) =\\\\(x^2y^3)^{(1)/(2) +(1)/(3)}=\\\\(x^2y^3)^(1*3+1*2)/(2*3) =\\\\(x^2y^3)^(3+2)/(6) =\\\\(x^2y^3)^(5)/(6) \\\\x^(2*5)/(6) y^(3*5)/(6) =\\\\x^(5)/(3) y^(5)/(2) \\\\Hence,\\\\a=5`