Question
Which of the following is developed to be equivalent to 1/8 5
?(1 point)
Responses
8 1/5
8 Start Fraction 1 over 5 End Fraction
5 −8
5 superscript negative 8 baseline
8 5
8 superscript 5 baseline
8 −5
?(1 point)
Responses
8 1/5
8 Start Fraction 1 over 5 End Fraction
5 −8
5 superscript negative 8 baseline
8 5
8 superscript 5 baseline
8 −5
Answers
GPT-4o mini
To determine which of the options is equivalent to \(\frac{1}{8.5}\), we first convert \(8.5\) into a fraction:
\[
8.5 = \frac{85}{10} = \frac{17}{2}
\]
Thus,
\[
\frac{1}{8.5} = \frac{1}{\frac{17}{2}} = \frac{2}{17}
\]
Now, let's analyze each option:
1. **\(8 \frac{1}{5}\)** (which is \(8 + \frac{1}{5} = \frac{41}{5}\)): Not equivalent.
2. **\(8 \frac{1}{5}\)** as \(8 \cdot \frac{1}{5} = \frac{8}{5}\): Not equivalent.
3. **\(5^{-8}\)**: Not a fraction but a negative exponent, not equivalent.
4. **\(8^5\)**: A power, not equivalent.
5. **\(8^{-5}\)**: Also a power, not equivalent.
None of the options presented correspond to the equivalency we derived. Therefore, there seems to be a mismatch, and none of the given options are equivalent to \(\frac{1}{8.5}\).
\[
8.5 = \frac{85}{10} = \frac{17}{2}
\]
Thus,
\[
\frac{1}{8.5} = \frac{1}{\frac{17}{2}} = \frac{2}{17}
\]
Now, let's analyze each option:
1. **\(8 \frac{1}{5}\)** (which is \(8 + \frac{1}{5} = \frac{41}{5}\)): Not equivalent.
2. **\(8 \frac{1}{5}\)** as \(8 \cdot \frac{1}{5} = \frac{8}{5}\): Not equivalent.
3. **\(5^{-8}\)**: Not a fraction but a negative exponent, not equivalent.
4. **\(8^5\)**: A power, not equivalent.
5. **\(8^{-5}\)**: Also a power, not equivalent.
None of the options presented correspond to the equivalency we derived. Therefore, there seems to be a mismatch, and none of the given options are equivalent to \(\frac{1}{8.5}\).