Question
Which of the following is developed to be equivalent to 1/85 ?(1 point) Responses 815 8 Start Fraction 1 over 5 End Fraction 85 8 superscript 5 baseline 5−8 5 superscript negative 8 baseline 8−5
The five is an integer
The five is an integer
Answers
Answer
the 5 in 1/85 is an integer (or is it called exponent?)
Answered by
GPT-4o mini
To determine which of the provided options is equivalent to \( \frac{1}{85} \), we can analyze each response:
1. **815**: This is just 815, which is not equivalent to \( \frac{1}{85} \).
2. **8**: This is just 8, which is not equivalent to \( \frac{1}{85} \).
3. **Start Fraction 1 over 5 End Fraction (or \( \frac{1}{5} \))**: This is \( \frac{1}{5} \), which is not equivalent to \( \frac{1}{85} \).
4. **85**: This is just 85, which is not equivalent to \( \frac{1}{85} \).
5. **8 superscript 5 baseline**: This is \( 8^5 \). \( 8^5 \) equals 32768, which is not equivalent to \( \frac{1}{85} \).
6. **5−8** (seems to imply \( 5-8 \)): This results in -3, which is not equivalent to \( \frac{1}{85} \).
7. **5 superscript negative 8 baseline**: This represents \( 5^{-8} \), which is equal to \( \frac{1}{5^8} \). Since \( 5^8 \) equals 390625, \( 5^{-8} \) is \( \frac{1}{390625} \), which is not equivalent to \( \frac{1}{85} \).
8. **8−5**: This is \( 8 - 5 = 3\), which is not equivalent to \( \frac{1}{85} \).
9. **8 superscript 5 baseline**: Again, this is \( 32768 \).
From the given options, none of them directly represent \( \frac{1}{85} \). It appears that none of the choices provided match \( \frac{1}{85} \) or can be transformed to be equivalent to it.
Could you please clarify whether there are any additional choices or if there is more context to your question?
1. **815**: This is just 815, which is not equivalent to \( \frac{1}{85} \).
2. **8**: This is just 8, which is not equivalent to \( \frac{1}{85} \).
3. **Start Fraction 1 over 5 End Fraction (or \( \frac{1}{5} \))**: This is \( \frac{1}{5} \), which is not equivalent to \( \frac{1}{85} \).
4. **85**: This is just 85, which is not equivalent to \( \frac{1}{85} \).
5. **8 superscript 5 baseline**: This is \( 8^5 \). \( 8^5 \) equals 32768, which is not equivalent to \( \frac{1}{85} \).
6. **5−8** (seems to imply \( 5-8 \)): This results in -3, which is not equivalent to \( \frac{1}{85} \).
7. **5 superscript negative 8 baseline**: This represents \( 5^{-8} \), which is equal to \( \frac{1}{5^8} \). Since \( 5^8 \) equals 390625, \( 5^{-8} \) is \( \frac{1}{390625} \), which is not equivalent to \( \frac{1}{85} \).
8. **8−5**: This is \( 8 - 5 = 3\), which is not equivalent to \( \frac{1}{85} \).
9. **8 superscript 5 baseline**: Again, this is \( 32768 \).
From the given options, none of them directly represent \( \frac{1}{85} \). It appears that none of the choices provided match \( \frac{1}{85} \) or can be transformed to be equivalent to it.
Could you please clarify whether there are any additional choices or if there is more context to your question?
Answered by
GPT-4o mini
Thank you for the clarification! It seems you're looking for an expression involving an exponent that equals \( \frac{1}{85} \).
In the context of the options provided, it seems you are specifically looking for a representation involving a power of some integer. The integer “5” being an exponent would imply two options:
- \( 5^{-1} \) which is \( \frac{1}{5} \)
- \( 85^{-1} \) which is \( \frac{1}{85} \)
So, if one of the options were \( 85^{-1} \) or \( \frac{1}{85} \) directly, that would be correct.
Given what you've listed:
The option that represents \( 85 \) raised to the power of -1 (which is \( 85^{-1} \) or \( \frac{1}{85} \)) was not explicitly stated, so it could have been included in a more complex notation.
If none of the options you provided correctly represented \( \frac{1}{85} \) in the form of \( 5 \) being an exponent, it's likely that the correct representation is indeed missing.
If you see something like \( 85^{-1} \) in future questions, that would correspond to your requirement, indicating equivalence to \( \frac{1}{85} \). Unfortunately, from the options you gave, none accurately represented that.
In the context of the options provided, it seems you are specifically looking for a representation involving a power of some integer. The integer “5” being an exponent would imply two options:
- \( 5^{-1} \) which is \( \frac{1}{5} \)
- \( 85^{-1} \) which is \( \frac{1}{85} \)
So, if one of the options were \( 85^{-1} \) or \( \frac{1}{85} \) directly, that would be correct.
Given what you've listed:
The option that represents \( 85 \) raised to the power of -1 (which is \( 85^{-1} \) or \( \frac{1}{85} \)) was not explicitly stated, so it could have been included in a more complex notation.
If none of the options you provided correctly represented \( \frac{1}{85} \) in the form of \( 5 \) being an exponent, it's likely that the correct representation is indeed missing.
If you see something like \( 85^{-1} \) in future questions, that would correspond to your requirement, indicating equivalence to \( \frac{1}{85} \). Unfortunately, from the options you gave, none accurately represented that.
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