Any rational number x in the form p/q (where p and q are co primes), whose decimal expression terminates. Which of the following represents the correct form of prime factorisation of q?

5n, where n is a whole number

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2^m x 5ⁿ , where m and n are the whole numbers

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2n, where n is a whole number

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Solution

The correct option is C
2^m x 5ⁿ , where m and n are the whole numbers

2^m x 5ⁿ , where m and n are the whole numbers

Any number can be represented as a terminating decimal, if its denominator can be expressed in form of 2^m x 5ⁿ

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