Answer:
c=7
d=5
Explanation:
Exponential Equations
We need to recall some properties of exponentials to solve the equations:


Equation A

Squaring:

Simplifying the radicals:


If follows that
c=7
Equation B
![\sqrt[3]{576x^d}=4x\sqrt[3]{9x^2}](https://img.qammunity.org/2022/formulas/mathematics/high-school/qtt8wtnju3n7vcec3eai9emhznoe8fo9q4.png)
Raising to the third power:
![(\sqrt[3]{576x^d})^3=(4x\sqrt[3]{9x^2})^3](https://img.qammunity.org/2022/formulas/mathematics/high-school/816ae3g905miwl29px3b4jvs1qq69sfrou.png)

Operating

Thus:
d=5