e. \( \left(3^{4}\right)^{\frac{1}{4}} \)

Did you know that when you raise a power to a power in math, you simply multiply the exponents? So in this case, \( \left(3^{4}\right)^{\frac{1}{4}} \) becomes \( 3^{4 \cdot \frac{1}{4}} = 3^{1} \). Voilà! You’ve simplified it down to 3. This kind of exponent manipulation is super useful in fields such as engineering and physics, where equations often involve exponential growth or decay. For instance, when modeling population growth or radioactive decay, understanding how to simplify expressions like \( (3^{4})^{\frac{1}{4}} \) can make working with equations much more manageable.