Question
Which of the following is developed to be equivalent to 1/8^5
?
?
Answers
GPT-4o mini
To find an expression that is equivalent to \( \frac{1}{8^5} \), we can manipulate the fraction.
First, we can express \( 8^5 \) as \( (2^3)^5 \):
\[
8^5 = (2^3)^5 = 2^{3 \cdot 5} = 2^{15}
\]
Now we can rewrite \( \frac{1}{8^5} \):
\[
\frac{1}{8^5} = \frac{1}{2^{15}} = 2^{-15}
\]
So, the equivalent expression for \( \frac{1}{8^5} \) is \( 2^{-15} \).
If you have multiple options to choose from, look for \( 2^{-15} \) or a corresponding equivalent expression.
First, we can express \( 8^5 \) as \( (2^3)^5 \):
\[
8^5 = (2^3)^5 = 2^{3 \cdot 5} = 2^{15}
\]
Now we can rewrite \( \frac{1}{8^5} \):
\[
\frac{1}{8^5} = \frac{1}{2^{15}} = 2^{-15}
\]
So, the equivalent expression for \( \frac{1}{8^5} \) is \( 2^{-15} \).
If you have multiple options to choose from, look for \( 2^{-15} \) or a corresponding equivalent expression.