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\sqrt{25}+\frac{5^{0}}{1^{6}}+0.9\sqrt{25}-3^{3}
Calculate 5 to the power of 2 and get 25.
5+\frac{5^{0}}{1^{6}}+0.9\sqrt{25}-3^{3}
Calculate the square root of 25 and get 5.
5+\frac{1}{1^{6}}+0.9\sqrt{25}-3^{3}
Calculate 5 to the power of 0 and get 1.
5+\frac{1}{1}+0.9\sqrt{25}-3^{3}
Calculate 1 to the power of 6 and get 1.
5+1+0.9\sqrt{25}-3^{3}
Anything divided by one gives itself.
6+0.9\sqrt{25}-3^{3}
Add 5 and 1 to get 6.
6+0.9\times 5-3^{3}
Calculate the square root of 25 and get 5.
6+4.5-3^{3}
Multiply 0.9 and 5 to get 4.5.
10.5-3^{3}
Add 6 and 4.5 to get 10.5.
10.5-27
Calculate 3 to the power of 3 and get 27.
-16.5
Subtract 27 from 10.5 to get -16.5.