In Exercises 59–70, evaluate each exponential expression.

(-2)^...

Question

In Exercises 59–70, evaluate each exponential expression.

(-2)^3

Accepted Answer

Hello, today we're going to be evaluating and simplifying the given expression. So what we are given is -8 raised to the power of five. Now, what this statement means is that we're going to be taking negative eight and multiplying itself five different times. And so what we're going to need to do is take this product in order to simplify the given expression. So let's go ahead and multiply negative eight with negative eight And another -8 with -8. We know that eight times eight is going to give us 64 a negative number times a negative number is going to produce a positive number. So negative eight times negative eight is going to give us positive we can do the same thing to the next two eights in this product, Multiplying them together is going to give us 64 and we are left with -8 at the end. Now let's go ahead and multiply 64 with 64, 64 times 64 is going to give us we still have the negative eight at the end of the product. Now finally, let's go ahead and multiply 4096 with negative 8, 4096 times eight is going to give us 32,768. But we're multiplying a positive number with a negative number which is going to result in a negative number. So the product between the last two numbers is going to give us negative 32,768. And that 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 a. 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.

In Exercises 59–70, evaluate each exponential expression. (-2)^3

Key Concepts

Exponential Expressions

Negative Bases

Order of Operations

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