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satela [25.4K]
3 years ago
10

Simplify 5^-2 A. 1/25 B. 1/10 C. 10 D. 25

Mathematics
2 answers:
4vir4ik [10]3 years ago
4 0
A. 1/25

5 to the -2 power is
1/5^2
=1/25
Drupady [299]3 years ago
3 0
5^-2 is simplified to A. 1/25
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Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

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\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

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<em>Simplify</em>

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-7/3 * 1/3 = 3c * 1/3

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Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

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