Problem

(5) Evaluate: \( 5^{10} \times 5^{-12} \)
(A) -2
(B) \( \frac{1}{25} \)
(C) \( \frac{1}{10} \)
(D) 25

Answer

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Answer

\( \frac{1}{25} \)

Steps

Step 1 ：\( 5^{10} \times 5^{-12} \)

Step 2 ：\( 5^{10-12} \)

Step 3 ：\( 5^{-2} \)

Step 4 ：\( \frac{1}{5^2} \)

Step 5 ：\( \frac{1}{25} \)

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