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y=\frac{25-4^{2}+\left(\frac{1}{5}\right)^{0}}{3^{-2}+1}
Calculate -5 to the power of 2 and get 25.
y=\frac{25-16+\left(\frac{1}{5}\right)^{0}}{3^{-2}+1}
Calculate 4 to the power of 2 and get 16.
y=\frac{9+\left(\frac{1}{5}\right)^{0}}{3^{-2}+1}
Subtract 16 from 25 to get 9.
y=\frac{9+1}{3^{-2}+1}
Calculate \frac{1}{5} to the power of 0 and get 1.
y=\frac{10}{3^{-2}+1}
Add 9 and 1 to get 10.
y=\frac{10}{\frac{1}{9}+1}
Calculate 3 to the power of -2 and get \frac{1}{9}.
y=\frac{10}{\frac{10}{9}}
Add \frac{1}{9} and 1 to get \frac{10}{9}.
y=10\times \frac{9}{10}
Divide 10 by \frac{10}{9} by multiplying 10 by the reciprocal of \frac{10}{9}.
y=9
Multiply 10 and \frac{9}{10} to get 9.