Which of the following is developed to be equivalent to 185 ?(1 point) Responses 5−8 5 superscript negative 8 baseline 85 8 superscript 5 baseline 815 8 Start Fraction 1 over 5 End Fraction 8−5

Answer 1

To determine which of the given expressions is equivalent to 185, let's simplify each option:

1. \( 5^{-8} \): This can be rewritten as \( \frac{1}{5^8} \). Since \( 5^8 \) is a very large number, \( 5^{-8} \) is a very small number, not equal to 185.

2. \( 85 \): This is simply the number 85, which is obviously not equal to 185.

3. \( 8^5 \): We can calculate \( 8^5 = 32768 \), which is also not equal to 185.

4. \( 815 \): This is just 815, which is greater than 185.

5. \( \frac{1}{5} \cdot 8^{-5} \): First, simplify \( 8^{-5} \) to \( \frac{1}{8^5} \). Thus, \( \frac{1}{5} \cdot 8^{-5} = \frac{1}{5} \cdot \frac{1}{8^5} = \frac{1}{5 \cdot 8^5} \). Since \( 8^5 \) is a very large number, this expression will again yield a very small number, not equal to 185.

After evaluating all expressions, none of them are equivalent to 185. Please verify the options or check for possible errors in the provided options.

Answer 2

so what is it

Answer 3

Let's re-evaluate the expressions you provided, one by one. Here they are listed again:

1. \( 5^{-8} \)
2. \( 85 \)
3. \( 8^5 \)
4. \( 815 \)
5. \( \frac{1}{5} \cdot 8^{-5} \)

Now, let's analyze each one.

1. \( 5^{-8} \):
   This equals \( \frac{1}{5^8} \), which is a very small number, much less than 185.

2. \( 85 \):
   This is simply 85, which is not equal to 185.

3. \( 8^5 \):
   Calculating \( 8^5 \):
   \[ 8^5 = 32768 \]
   This is much greater than 185.

4. \( 815 \):
   This is 815, which is again greater than 185.

5. \( \frac{1}{5} \cdot 8^{-5} \):
   First, simplify \( 8^{-5} \) to \( \frac{1}{8^5} \):
   \[ \frac{1}{5} \cdot 8^{-5} = \frac{1}{5} \cdot \frac{1}{32768} = \frac{1}{163840}
   \]
   This is also a very small number, much less than 185.

After evaluating all the options, none of the expressions listed are equivalent to 185.

If you have a different set of options or if there's a specific operation or context missing, please let me know!