Question

Negative Integer Exponents Quick Check
1 of 51 of 5 Items
Question
Which of the following is developed to be equivalent to 1/8^5?(1 point)
Responses

8^5
8 superscript 5 baseline

5^−8
5 superscript negative 8 baseline

8^−5
8 superscript negative 5 baseline

8^15
8 Start Fraction 1 over 5 End Fraction

Answer 1

To determine which expression is equivalent to \( \frac{1}{8^5} \), we can use the rule of exponents that states:

\[
\frac{1}{a^b} = a^{-b}
\]

Applying this rule to \( \frac{1}{8^5} \):

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

Therefore, the correct option is:

**8^−5**