Answer:
a = -8
b = -2
Explanation:
We have been given the following radical expression;
![\sqrt[3]{x^(10) }](https://img.qammunity.org/2020/formulas/mathematics/high-school/5hq2x7hbds1mq6dqqah6962jp5e0c2yas1.png)
The radical can be expressed using the law of exponents;
![\sqrt[n]{x}=x^{(1)/(n) }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7xx5ep2m9y81l2lxiy4kjuuk18gtbtmyrg.png)
The radical can thus be re-written as;
![\sqrt[3]{x^(10) }=(x^(10))^{(1)/(3) }](https://img.qammunity.org/2020/formulas/mathematics/high-school/um88b9zs91ly02cvuvslxr8aw1acy5vq76.png)
Using the law of exponents;

The last expression becomes;
![(x^(10))^{(1)/(3) }=x^{(10)/(3) }=x^(3)*x^{(1)/(3) }\\\\=x^(3)\sqrt[3]{x}](https://img.qammunity.org/2020/formulas/mathematics/high-school/64qs51ji0vvl2o7gggv8xfg5cw42hyhxuu.png)
substituting x with -2 yields;
![-2^(3)\sqrt[3]{-2}=-8\sqrt[3]{-2}](https://img.qammunity.org/2020/formulas/mathematics/high-school/ci77lng1wxwy9hmv49k8mx6kckqdthlhvm.png)