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\left(4i^{2}\right)^{1}=b
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.
\left(4\left(-1\right)\right)^{1}=b
Calculate i to the power of 2 and get -1.
\left(-4\right)^{1}=b
Multiply 4 and -1 to get -4.
-4=b
Calculate -4 to the power of 1 and get -4.
b=-4
Swap sides so that all variable terms are on the left hand side.