Question
Which of the following is developed to be equivalent to 185?(1 point)
Responses
815
8 Start Fraction 1 over 5 End Fraction
5−8
5 superscript negative 8 baseline
8−5
8 superscript negative 5 baseline
85
Responses
815
8 Start Fraction 1 over 5 End Fraction
5−8
5 superscript negative 8 baseline
8−5
8 superscript negative 5 baseline
85
Answers
Answered by
GPT-4o mini
To determine which of the given options is equivalent to 185, we'll evaluate each one:
1. **815** - This is simply 815, which is not equivalent to 185.
2. **8 Start Fraction 1 over 5 End Fraction** - This is another way to write \( 8 \frac{1}{5} \), which is equal to \( 8 + 0.2 = 8.2 \), not equivalent to 185.
3. **5−8** - This simplifies to \( 5 - 8 = -3 \), not equivalent to 185.
4. **5 superscript negative 8 baseline** - This represents \( 5^{-8} \), which is equal to \( \frac{1}{5^8} \). Since \( 5^8 \) is a large number, \( 5^{-8} \) is a very small number, definitely not equivalent to 185.
5. **8−5** - This simplifies to \( 8 - 5 = 3 \), not equivalent to 185.
6. **8 superscript negative 5 baseline** - This represents \( 8^{-5} \), which is equal to \( \frac{1}{8^5} \). Similarly, \( 8^5 \) is a large number, and \( 8^{-5} \) is a very small number, so it is not equivalent to 185.
7. **85** - This is simply 85, which is not equivalent to 185.
After evaluating all options, none of them is equivalent to 185. Therefore, the conclusion is that none of the options provided is correct.
1. **815** - This is simply 815, which is not equivalent to 185.
2. **8 Start Fraction 1 over 5 End Fraction** - This is another way to write \( 8 \frac{1}{5} \), which is equal to \( 8 + 0.2 = 8.2 \), not equivalent to 185.
3. **5−8** - This simplifies to \( 5 - 8 = -3 \), not equivalent to 185.
4. **5 superscript negative 8 baseline** - This represents \( 5^{-8} \), which is equal to \( \frac{1}{5^8} \). Since \( 5^8 \) is a large number, \( 5^{-8} \) is a very small number, definitely not equivalent to 185.
5. **8−5** - This simplifies to \( 8 - 5 = 3 \), not equivalent to 185.
6. **8 superscript negative 5 baseline** - This represents \( 8^{-5} \), which is equal to \( \frac{1}{8^5} \). Similarly, \( 8^5 \) is a large number, and \( 8^{-5} \) is a very small number, so it is not equivalent to 185.
7. **85** - This is simply 85, which is not equivalent to 185.
After evaluating all options, none of them is equivalent to 185. Therefore, the conclusion is that none of the options provided is correct.
Answer
No, which one is equivalent to 1/8 with an exponent 5.
Answered by
GPT-4o mini
To determine which of the given expressions is equivalent to \(\frac{1}{8^5}\), we can evaluate the options again in that context.
1. **815** - This does not relate to \(\frac{1}{8^5}\).
2. **8 Start Fraction 1 over 5 End Fraction** - This is equal to \(8 + \frac{1}{5}\), not equivalent to \(\frac{1}{8^5}\).
3. **5−8** - This simplifies to \(5 - 8 = -3\), not equivalent to \(\frac{1}{8^5}\).
4. **5 superscript negative 8 baseline (i.e., \(5^{-8}\))** - This simplifies to \(\frac{1}{5^8}\), not equivalent to \(\frac{1}{8^5}\).
5. **8−5** - This simplifies to \(8 - 5 = 3\), not equivalent to \(\frac{1}{8^5}\).
6. **8 superscript negative 5 baseline (i.e., \(8^{-5}\))** - This is equal to \(\frac{1}{8^5}\), which is indeed what we are looking for.
7. **85** - This does not relate to \(\frac{1}{8^5}\).
Thus, the expression that is equivalent to \(\frac{1}{8^5}\) is **8 superscript negative 5 baseline (i.e., \(8^{-5}\))**.
1. **815** - This does not relate to \(\frac{1}{8^5}\).
2. **8 Start Fraction 1 over 5 End Fraction** - This is equal to \(8 + \frac{1}{5}\), not equivalent to \(\frac{1}{8^5}\).
3. **5−8** - This simplifies to \(5 - 8 = -3\), not equivalent to \(\frac{1}{8^5}\).
4. **5 superscript negative 8 baseline (i.e., \(5^{-8}\))** - This simplifies to \(\frac{1}{5^8}\), not equivalent to \(\frac{1}{8^5}\).
5. **8−5** - This simplifies to \(8 - 5 = 3\), not equivalent to \(\frac{1}{8^5}\).
6. **8 superscript negative 5 baseline (i.e., \(8^{-5}\))** - This is equal to \(\frac{1}{8^5}\), which is indeed what we are looking for.
7. **85** - This does not relate to \(\frac{1}{8^5}\).
Thus, the expression that is equivalent to \(\frac{1}{8^5}\) is **8 superscript negative 5 baseline (i.e., \(8^{-5}\))**.