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GH
Numerade Educator

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Problem 4 Easy Difficulty

For the following exercises, use like bases to solve the exponential equation.
$$
4^{-3 v-2}=4^{-v}
$$

Answer

$-1$

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Heather Z.

Oregon State University

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McMaster University

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Harvey Mudd College

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Video Transcript

So the problem we have is or to the power of 93 D minus two physical to four to the negative. So we're going to use property cold one to one property. Basically, since the basis are the same, we can set their powers equal to each other. So you have negative three V minus two equals negative v. Well, I'd be to both sides would get negative to V and then add to to both sides equals two. I would get an answer of b equals negative one.

Top Algebra Educators
Heather Z.

Oregon State University

Alayna H.

McMaster University

Kayleah T.

Harvey Mudd College

MG
Maria G.

Numerade Educator

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