Haley’s work evaluating (Negative 2) Superscript 8 is shown below.
2 answers:
Answer:
D
Step-by-step explanation:
<em>The statements are shown below:</em>
<em>A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2. </em>
<em>B) She used the wrong number as a repeated factor and should have evaluated -(8x8). </em>
<em>C) She misinterpreted the exponential form and should have multiplied -2 and 8. </em>
<em>D) She made a sign error when multiplying and should have had 256 as a final answer.</em>
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<u>Solution:</u>
<u />
The problem to simplify is:
Haley's steps are shown below:
Generally,
is actually "a" multiplied "b" times.
So, Haley wrote "-2" eight times multiplied together. That is okay.
Now,
We are dealing with negative numbers.
- When negative numbers are multiplied "odd" number of times, the answer is negative.
- When negative numbers are multiplied "even" number of times, the answer is positive.
Haley wrote "-2" eight times, which is EVEN number of times, so the answer would be POSITIVE. But, Haley's answer is negative. Which is wrong. But "256" is right.
Haley's error is:
Answer choice D
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So hmm the first term is -2
and if we divide one term by the term before it, we'd get the "common ratio" "r"
so hmm say -32/8 that gives us -4, so r = -4
thus
and if we divide one term by the term before it, we'd get the "common ratio" "r"
so hmm say -32/8 that gives us -4, so r = -4
thus