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\frac{1}{2^{3}}+3\left(-2\right)
Rewrite 2 as 2^{-2}\times 2^{3}. Cancel out 2^{-2} in both numerator and denominator.
\frac{1}{8}+3\left(-2\right)
Calculate 2 to the power of 3 and get 8.
\frac{1}{8}-6
Multiply 3 and -2 to get -6.
-\frac{47}{8}
Subtract 6 from \frac{1}{8} to get -\frac{47}{8}.