English

6^n can not end with digit 0 for ______ value of n.

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Question

6n can not end with digit 0 for ______ value of n.

Fill in the Blanks
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Solution

6n can not end with digit 0 for any value of n.

Explanation:

A number ends with 0 only if it is divisible by 10 (i.e., has prime factors 2 and 5). But 6n = (2 × 3)n = 2n × 3n, which has no factor 5 for any n, so 6n is never divisible by 10 and therefore never ends with the digit 0.

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Chapter 1: Real Numbers - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 1.45]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 18. | Page 1.45
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