3x³
1) Evaluating that radical expression, we have:
Notice that we can rewrite that, under one and only radical, and then divide 81 by 3 and subtract the exponents (1 from 10)
And then, rewrite that radical as a power
![\frac{\sqrt[3]{81x^(10)}}{\sqrt[3]{3x}}=\sqrt[3]{\frac{81x^(10)}{3\cdot x^{}}}=\sqrt[3]{27x^9^{}}=(27x^9)^{(1)/(3)}=3x^3](https://img.qammunity.org/2023/formulas/mathematics/college/1ci2djeeol0izvo0modd048r733nuw5yh9.png)
2) As the cubic root of 27 is 3 and 9 times 1/3 is 3 we can write the solution as 3x³
3) Hence, that's the answer