Question

Value of a in simplest form?

Answer 1

Explanation:

When base is same, add the powers

`x^{(2)/(3)}*x^{(1)/(2)}=x^(a)\\\\x^{(2)/(3)+(1)/(2)}=x^(a)\\\\x^{(4)/(6)+(3)/(6)}=x^(a)\\\\x^{(7)/(6)}=x^(a)`

Compare the powers,

a = 7/6