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Simplify the following expressions. Make sure it is simplified completely when selecting your answer. Choose the correct answer below.

Simplify the following expressions. Make sure it is simplified completely when selecting your answer. Choose the correct answer below.
asked 98.3k views
4 votes
Simplify the following expressions. Make sure it is simplified completely when selecting your answer. Choose the correct answer below.

Simplify the following expressions. Make sure it is simplified completely when selecting-example-1
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User Daniel Kvist
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8.1k points

1 Answer

4 votes

\begin{gathered} We\text{ are asked to simplify the following:} \\ 2^(-3)*2^(-4) \\ We\text{ know that whenever we have numbers with the same base \lparen in this case 2\rparen multiplied by each other,} \\ we\text{ are to add the relevant exponents and keep the base.} \\ Adding\text{ -3 + -4 = -7} \\ We\text{ then have 2}^(-7) \\ Lastly,\text{ we know that when we have a number with a negative exponent, this is the same as the inverse of that number.} \\ 2^{-7\text{ }}=\text{ }(1)/(2^7) \end{gathered}

The correct option is option number 2.

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User JohnHF
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