Write the expression in rectangular form, x + yi, and in exponential form, $re^{i\theta}$.
$\left[\sqrt{3}\left(\cos\frac{5\pi}{24} + i\sin\frac{5\pi}{24}\right)\right]^6$
The rectangular form of the given expression is $oxed{}$, and the exponential form of the given
expression is $oxed{}$.
(Simplify your answers. Type exact answers, using $\pi$ as needed. Use integers or fractions for any
numbers in the expressions.)