Answer:
[tex] x^{\frac{28}{45}} [/tex]
Step-by-step explanation:
To multiply powers with the same base, add the exponents.
[tex] x^{\frac{2}{5}} \times x^{\frac{2}{9}} = [/tex]
[tex] = x^{\frac{2}{5} + \frac{2}{9} [/tex]
[tex] = x^{\frac{2 \times 9}{5 \times 9} + \frac{2 \times 5}{9 \times 5}} [/tex]
[tex] = x^{\frac{18}{45} + \frac{10}{45}} [/tex]
[tex] = x^{\frac{28}{45}} [/tex]
