Question

Which of the following is developed to be equivalent to 1/8^5
?(1 point)
Responses

8 1/5
8 Start Fraction 1 over 5 End Fraction

5 −8
5 superscript negative 8 baseline

8 5
8 superscript 5 baseline

8 −5

Answer 1

To determine which of the given options is equivalent to \( \frac{1}{8^5} \), we can simplify \( \frac{1}{8^5} \) as follows:

\[
\frac{1}{8^5} = 8^{-5}
\]

Now let's review the options:

1. \( 8 \frac{1}{5} \) - This is not equivalent.
2. \( 5^{-8} \) - This is not equivalent.
3. \( 8^5 \) - This is not equivalent.
4. \( 8^{-5} \) - This is equivalent.

Therefore, the correct answer is:

**8 −5** (or \( 8^{-5} \)).