value of a in simplest form?

Answer:
Step-by-step explanation:
When base is same, add the powers
[tex]x^{\frac{2}{3}}*x^{\frac{1}{2}}=x^{a}\\\\x^{\frac{2}{3}+\frac{1}{2}}=x^{a}\\\\x^{\frac{4}{6}+\frac{3}{6}}=x^{a}\\\\x^{\frac{7}{6}}=x^{a}[/tex]
Compare the powers,
a = 7/6