Evaluating Equivalent Values of Exponents
The question is asking which of the following is not equivalent to \(2^{-3}\).
\(2^{-3}\) can be rewritten as \(\frac{1}{2^3}\), which equals \(\frac{1}{8}\).
Now let's evaluate each option:
(1) \( \frac{1}{2^3} = \frac{1}{8} \), which is equivalent to \(2^{-3}\).
(2) \( -6 \) is clearly not equivalent to \(2^{-3}\), as \(2^{-3}\) is a positive fraction less than \(1\).
(3) \( 0.125 = \frac{125}{1000} = \frac{1}{8} \), which is equivalent to \(2^{-3}\).
(4) \( \frac{1}{8} \) is exactly what \(2^{-3}\) equals.
Therefore, the number that is not equivalent to \(2^{-3}\) is option (2), \( -6 \).
