Question

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

85
8 superscript 5 baseline

5−8
5 superscript negative 8 baseline

8−5
8 superscript negative 5 baseline

815

Answer 1

To find the equivalent expression for \( \frac{1}{(1/8)^5} \), we can simplify it.

1. First, rewrite \( (1/8)^5 \):
\[
(1/8)^5 = \frac{1^5}{8^5} = \frac{1}{8^5}
\]

2. Now, taking the reciprocal gives:
\[
\frac{1}{(1/8)^5} = \frac{1}{\frac{1}{8^5}} = 8^5
\]

Now, let's look at the options provided to see which one is equivalent to \( 8^5 \):
1. \( 85 \)
2. \( 8^{5} \)
3. \( 5^{-8} \)
4. \( 8^{-5} \)
5. \( 815 \)

The correct answer is:
- \( 8^5 \)

Thus, the response that is developed to be equivalent to \( \frac{1}{(1/8)^5} \) is \( 8^{5} \).