In Exercises 59–70, evaluate each exponential expression. (-1)^33

Question

Accepted Answer

Hello, today we're going to be evaluating and simplifying the given expression. So what we are given is negative one raised to the power of 63. Now, what this means is that we're going to be taking negative one and multiplying it by itself 63 different times. But that's gonna take a very long time. So there's a trick to evaluating this expression. And that's paying attention to the type of number that is given to us in the exponent see if we raise a negative number to an even exponent and even exponent is going to produce a positive number and an odd exponent is going to produce a negative number. So the easiest way to approach this is what type of number is 63? Is it going to be even or is it going to be odd? Well, since 63 is an odd number, that means that the final product is going to be a negative number. And so that means that when you multiply negative 163 times by itself, the result is going to be negative one since it was raised or multiplied by itself an odd number of times. So this is going to be the simplified version of the given expression. And with that being said, the answer to this problem is going to be D so I hope this video helps you in understanding how to approach this problem. And I'll go ahead and see you all in the next video.

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In Exercises 59–70, evaluate each exponential expression. (-1)^33

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