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If n=2^3 * 3^4 * 5^4 * 7, then find the number of consecutive zeroes in n,where n is a natural number.

Asked by manasvi.gopani 11th February 2018, 12:00 AM
Answer Verified by Expert
Answer:

straight n equals 2 cubed cross times 3 to the power of 4 cross times 5 to the power of 4 cross times 7
equals left parenthesis 2 cubed cross times 5 cubed right parenthesis cross times 3 to the power of 4 cross times 5 cross times 7
equals 10 cubed cross times 3 to the power of 4 cross times 5 cross times 7

So, we will have 3 consecutive zeroes.

Verified by Expert 11th February 2018, 8:48 PM
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