Question

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

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

5 superscript −8
5 superscript negative 8 baseline

8 superscript 5
8 superscript 5 baseline

8 superscript −5

Answer 1

To evaluate \( \left( \frac{1}{8} \right)^5 \), we can rewrite it using the properties of exponents.

\[
\left( \frac{1}{8} \right)^5 = \frac{1^5}{8^5} = \frac{1}{8^5}
\]

This can also be expressed with negative exponents:

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

So, the correct equivalent for \( \left( \frac{1}{8} \right)^5 \) is:

**8 superscript -5**.