Question
Which of the following is developed to be equivalent to 185
?(1 point)
Responses
5−8
5 superscript negative 8 baseline
815
8 Start Fraction 1 over 5 End Fraction
8−5
8 superscript negative 5 baseline
85
?(1 point)
Responses
5−8
5 superscript negative 8 baseline
815
8 Start Fraction 1 over 5 End Fraction
8−5
8 superscript negative 5 baseline
85
Answers
GPT-4o mini
To determine which of the given options is equivalent to 185, let's evaluate them one by one:
1. **\( 5^{-8} \)**: This represents \( \frac{1}{5^8} \). Since \( 5^8 \) is a very large number, \( 5^{-8} \) will be a very small decimal, much smaller than 185.
2. **\( 8 \cdot \frac{1}{5} \)**: This expression simplifies to \( \frac{8}{5} \), which is equal to 1.6. Again, this is much smaller than 185.
3. **\( 8^{-5} \)**: This represents \( \frac{1}{8^5} \), which is also a very small number. \( 8^5 \) is also quite large, making \( 8^{-5} \) very small and definitely not equal to 185.
4. **\( 85 \)**: This is just the number 85, which is also less than 185.
None of the provided options equate to 185.
1. **\( 5^{-8} \)**: This represents \( \frac{1}{5^8} \). Since \( 5^8 \) is a very large number, \( 5^{-8} \) will be a very small decimal, much smaller than 185.
2. **\( 8 \cdot \frac{1}{5} \)**: This expression simplifies to \( \frac{8}{5} \), which is equal to 1.6. Again, this is much smaller than 185.
3. **\( 8^{-5} \)**: This represents \( \frac{1}{8^5} \), which is also a very small number. \( 8^5 \) is also quite large, making \( 8^{-5} \) very small and definitely not equal to 185.
4. **\( 85 \)**: This is just the number 85, which is also less than 185.
None of the provided options equate to 185.