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6-\frac{4}{\frac{4}{9}}
Calculate -2 to the power of 2 and get 4.
6-4\times \frac{9}{4}
Divide 4 by \frac{4}{9} by multiplying 4 by the reciprocal of \frac{4}{9}.
6-9
Cancel out 4 and 4.
-3
Subtract 9 from 6 to get -3.