Evaluate , when

To evaluate when , we substitute with 4:

So, the correct answer is .

Now, just for fun, here’s a deeper dive into the magical world of exponents: Whenever you raise a fraction to an exponent, it’s like raising both the numerator and the denominator to that exponent. This means transforms into . And since , you end up with .

Would you believe that in mathematics, exponents have fascinating rules? One common mistake is forgetting that a negative exponent means you should take the reciprocal. So, for example, . Always remember: negative exponents can be turned into fractions, making it easier to handle those tricky calculations!