Question

Which of the following is developed to be equivalent to 185 ?(1 point)
Responses

815
8 Start Fraction 1 over 5 End Fraction



8exponent-5
8 exponent5

5 exponent−8

Answer 1

To determine which of the given options is equivalent to 185, let's evaluate each option one by one.

1. **815**: This is simply the number 815, which is not equivalent to 185.

2. **8 Start Fraction 1 over 5 End Fraction**: This represents \( 8 \times \frac{1}{5} = \frac{8}{5} = 1.6 \). This is also not equivalent to 185.

3. **8 exponent -5**: This is \( 8^{-5} = \frac{1}{8^5} \). Calculating \( 8^5 = 32768 \), hence \( 8^{-5} = \frac{1}{32768} \), which is not equivalent to 185.

4. **8 exponent 5**: This is \( 8^5 = 32768 \), which is not equivalent to 185.

5. **5 exponent -8**: This is \( 5^{-8} = \frac{1}{5^8} \). Calculating \( 5^8 = 390625 \), so \( 5^{-8} = \frac{1}{390625} \), which is not equivalent to 185.

After evaluating all options, none of the provided choices is equivalent to 185.