Problem

$\left(\frac{5}{35}\right)^{-2} \cdot\left(2^{-2}\right)$

Answer

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Answer

\(\boxed{12.25}\) is the final answer.

Steps

Step 1 :Simplify the fraction inside the parentheses in the first part of the expression, \(\left(\frac{5}{35}\right)^{-2}\), to get \(\left(\frac{1}{7}\right)^{-2}\).

Step 2 :Raise \(\frac{1}{7}\) to the power of -2 to get 49.

Step 3 :Simplify the second part of the expression, \(2^{-2}\), to get \(\frac{1}{2^2}\).

Step 4 :Simplify \(\frac{1}{2^2}\) to get 0.25.

Step 5 :Finally, multiply the results of the two parts together to get the final answer, 49 * 0.25 = 12.25.

Step 6 :\(\boxed{12.25}\) is the final answer.

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