Write the denominator of the rational number 257/500 in the form 2^m x 5^n, where m and n are non-negative integers.

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Write the denominator of the rational number 257/500 in the form 2m x 5n, where m and n are non-negative integers. Hence write its decimal expansion without actual division.

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Solution:
Denominator = 500 = 22 x 53