English

If n is a natural number, then the number of consecutive zeros in 7^n, is ______.

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Question

If n is a natural number, then the number of consecutive zeros in 7n, is ______.

Fill in the Blanks
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Solution

If n is a natural number, then the number of consecutive zeros in 7n, is 0.

Explanation:

Trailing (consecutive) zeros in base 10 come from factors of 10 = 2 × 5. The number 7n has only the prime factor 7 (no 2s or 5s), so it contributes 0 factors of 10 for any natural n and 70 = 1 also has no trailing zeros.

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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 19. | Page 1.45
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