Question
Which of the following is developed to be equivalent to 1 over 8^5
Responses:
8^−5
8^5
5^−8
8 and 1 over 5
Responses:
8^−5
8^5
5^−8
8 and 1 over 5
Answers
GPT-4o mini
To find an expression equivalent to \( \frac{1}{8^5} \), we can use the property of exponents that states:
\[
\frac{1}{a^n} = a^{-n}
\]
Applying this property to \( \frac{1}{8^5} \), we get:
\[
\frac{1}{8^5} = 8^{-5}
\]
Thus, the correct response from the options provided is:
**8^−5**
\[
\frac{1}{a^n} = a^{-n}
\]
Applying this property to \( \frac{1}{8^5} \), we get:
\[
\frac{1}{8^5} = 8^{-5}
\]
Thus, the correct response from the options provided is:
**8^−5**