use the properties of exponents to simply the following expression as much as possible

In exponent form, we have:
[tex]x^{\frac{47}{30}}[/tex]In radical form, we have:
[tex]\sqrt[30]{x^{47}}[/tex]Explanation:Given
[tex]x^{\frac{9}{10}}\cdot x^{\frac{2}{3}}[/tex]In exponent form, we have:
[tex]x^{\frac{9}{10}+\frac{2}{3}}=x^{\frac{47}{30}}[/tex]In radical form, we have:
[tex]\sqrt[30]{x^{47}}[/tex]