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15+\frac{25}{25^{0}}-5^{1}
Calculate 5 to the power of 2 and get 25.
15+\frac{25}{1}-5^{1}
Calculate 25 to the power of 0 and get 1.
15+25-5^{1}
Anything divided by one gives itself.
40-5^{1}
Add 15 and 25 to get 40.
40-5
Calculate 5 to the power of 1 and get 5.
35
Subtract 5 from 40 to get 35.