Evaluate each expression. (-2)^4

Question

Accepted Answer

Hello. Today we're going to be evaluating the given exponential value. So what we are given is -7 raised to the power of four. Now we can go ahead and rewrite the inside argument as negative seven is equal to negative one times seven. So rewriting the inside argument is going to give us negative one times seven. Race to the fourth power. Now using our exponential distribution, we can go ahead and distribute this exponents to both of the terms inside the parentheses. And this is going to give us negative one race to the fourth Power times seven. Race to the fourth power. So let's go ahead and evaluate both of these values negative one race to any even power is always going to produce positive one. So negative one to the fourth Power is just going to give us one. Now, what about seven to the fourth power while seven to the fourth Power is just seven times itself. Four different times and seven times itself four different times is going to give us the value 2401. So seven to the fourth Power evaluates to 2401. And what we are left with is one times 2401. Which is just going to give us 2401. And this is going to be the answer to this problem. And with that being said, the overall solution 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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Evaluate each expression. (-2)^4

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