Answer:
[tex]x^{\frac{28}{45}}[/tex]
Step-by-step explanation:
We are asked to multiply [tex]x^{\frac{2}{5}}[/tex] to [tex]x^{\frac{2}{9}}[/tex].
Upon multiplying [tex]x^{\frac{2}{5}}[/tex] to [tex]x^{\frac{2}{9}}[/tex], we will get:
[tex]x^{\frac{2}{5}}\times x^{\frac{2}{9}}[/tex]
Using exponent property [tex]a^b\times a^c=a^{b+c}[/tex], we will get:
[tex]x^{\frac{2}{5}+\frac{2}{9}}[/tex]
Let us make a common denominator.
[tex]x^{\frac{2*9}{5*9}+\frac{2*5}{9*5}}[/tex]
[tex]x^{\frac{18}{45}+\frac{10}{45}}[/tex]
[tex]x^{\frac{18+10}{45}}[/tex]
[tex]x^{\frac{28}{45}}[/tex]
Therefore, the product of our given expressions would be [tex]x^{\frac{28}{45}}[/tex].
