Which of the following is developed to be equivalent to 1/8^5

Question

?(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 simplify \( \frac{1}{8^5} \), we can rewrite it using negative exponents. The expression can be written as:

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

Thus, the equivalent expression to \( \frac{1}{8^5} \) is \( 8^{-5} \).

So, the correct response is:

8^−5