Question - Evaluating Equivalent Values of Exponents
Solution:
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), $$ -6 $$.
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