Question

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describe and correct the error in

1. \\((0.4)^2 = 2(0.4) = 0.8\\)

Explanation:

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<reasoning>

Identify the error

The error is multiplying the base by the exponent.
The base \(0.4\) was multiplied by \(2\).

State the correct definition

An exponent indicates repeated multiplication of the base.
Squaring a number means multiplying it by itself.

Calculate the correct value

Multiply \(0.4\) by \(0.4\).
\[
(0.4)^2 = 0.4 \times 0.4 = 0.16
\]
</reasoning>

<answer>
Error: The base \(0.4\) was multiplied by the exponent \(2\) instead of being multiplied by itself.

Correction:
\[
(0.4)^2 = 0.4 \times 0.4 = 0.16
\]
</answer>

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"Exponentiation Errors"
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Answer:

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</pre_analysis>

<reasoning>

Identify the error

The error is multiplying the base by the exponent.
The base \(0.4\) was multiplied by \(2\).

State the correct definition

An exponent indicates repeated multiplication of the base.
Squaring a number means multiplying it by itself.

Calculate the correct value

Multiply \(0.4\) by \(0.4\).
\[
(0.4)^2 = 0.4 \times 0.4 = 0.16
\]
</reasoning>

<answer>
Error: The base \(0.4\) was multiplied by the exponent \(2\) instead of being multiplied by itself.

Correction:
\[
(0.4)^2 = 0.4 \times 0.4 = 0.16
\]
</answer>

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"question_type": "Free Response",
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"Mathematics",
"Algebra",
"Exponentiation Errors"
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