(25^2-log5 75)+(7^-log7 3)

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To simplify this expression, we first evaluate the logarithmic terms.

log5 75 = log(75)/log(5) ≈ 2.097

log7 3 = log(3)/log(7) ≈ 0.679

Now we substitute these values back into the expression:

(25^2 - log5 75) + (7^-log7 3)
= (625 - 2.097) + (7^-0.679)
≈ 622.903 + 0.257
≈ 623.16

Therefore, (25^2 - log5 75) + (7^-log7 3) is approximately 623.16.