8 to the power 16 × 25 to the power 14 How many zeros are there in the product of the number?
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Answer:
Step-by-step explanation:
Number of zeros in a product depends on the number of times 10 appears in its factor. The factors of 10 are 2 and 5.
Write: 816∗2514 as 248∗528
So, the given number is equal to product of 48 twos and 28 fives. The product of 28 twos and 28 fives gives 28 zeros and the remaining 20 twos gives 1048576.
Thus the value of above product is 1048576 followed by 28 zeros i.e. 10485760000000000000000000000000000.
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