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\frac{-16}{\left(-2\right)^{4}}-\frac{\left(-3\right)^{2}}{-9}
To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.
\frac{-16}{16}-\frac{\left(-3\right)^{2}}{-9}
Calculate -2 to the power of 4 and get 16.
-1-\frac{\left(-3\right)^{2}}{-9}
Divide -16 by 16 to get -1.
-1-\frac{9}{-9}
Calculate -3 to the power of 2 and get 9.
-1-\left(-1\right)
Divide 9 by -9 to get -1.
-1+1
The opposite of -1 is 1.
0
Add -1 and 1 to get 0.