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-\frac{1}{4}b=3^{-3}
Calculate 2 to the power of -2 and get \frac{1}{4}.
-\frac{1}{4}b=\frac{1}{27}
Calculate 3 to the power of -3 and get \frac{1}{27}.
b=\frac{1}{27}\left(-4\right)
Multiply both sides by -4, the reciprocal of -\frac{1}{4}.
b=-\frac{4}{27}
Multiply \frac{1}{27} and -4 to get -\frac{4}{27}.