To evaluate the expression \[(35)0]^{-2}\], let's break it down step by step.
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Evaluate \( (35)^0 \): Any non-zero number raised to the power of 0 is 1. Therefore, \( (35)^0 = 1 \).
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Then raise this result to the power of -2: We now compute \( 1^{-2} \). Any number raised to a negative power is equal to the reciprocal of that number raised to the positive power. Since \( 1^{-2} = \frac{1}{1^2} \), we have: \[ 1^{-2} = \frac{1}{1} = 1. \]
So the value of the expression \([(35)^0]^{-2}\) is \( 1 \).
Thus, the correct answer is: 1.