Rewrite the expressions in Exercises 5–10 in terms of exponentials and simplify the results as much as you can.
9. (sinh(x)+cosh(x))⁴

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Recall the definitions of hyperbolic sine and cosine in terms of exponentials: \(\sinh(x) = \frac{e^{x} - e^{-x}}{2}\) and \(\cosh(x) = \frac{e^{x} + e^{-x}}{2}\).

Add \(\sinh(x)\) and \(\cosh(x)\) using their exponential forms: \(\sinh(x) + \cosh(x) = \frac{e^{x} - e^{-x}}{2} + \frac{e^{x} + e^{-x}}{2}\).

Combine the fractions since they have the same denominator: \(\frac{e^{x} - e^{-x} + e^{x} + e^{-x}}{2} = \frac{2e^{x}}{2} = e^{x}\).

Rewrite the original expression \((\sinh(x) + \cosh(x))^{4}\) as \((e^{x})^{4}\) using the simplification from the previous step.

Apply the exponent rule \((e^{x})^{4} = e^{4x}\) to express the final simplified form in terms of exponentials.

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