Evaluate each expression. (-2)^6

Question

Accepted Answer

Hello. Today we're going to be evaluating the given exponential value. So what we are given is native three raised to the power of eight and we can go ahead and rewrite negative three as negative one times three. And if we go ahead and do that, what we end up with is negative one times three. Race to the eighth power. Now, using our exponential distribution, we can go ahead and distribute the eighth power to both three and negative one. And what that's going to give us is negative one race to the eighth. Power times three. Race to the eighth power. So let's go ahead and evaluate both of these values for negative one. Race to the eighth Power, negative one race to any even power is going to produce positive one. So negative one race to the eighth Power gives us one. Now, what about three race to the eighth Power. While three race to the 8th power is just three times itself. Eight different times and three times itself eight different times. It's going is going to give us the value of 6561. So three to the eighth Power is going to evaluate to 6561. And what we are left with is 6561 times one, which is just going to give us the number 6561. And this is going to be the answer to this problem. And with that being said, the overall solution is going to be be 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.

Evaluate each expression. (-2)^6

Key Concepts

Exponents

Negative Base

Order of Operations

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