SOLUTION: How many digits are in the product 16^96x21^3x25^190?

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Question 1127043: How many digits are in the product 16^96x21^3x25^190?
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


16%5E96+=+%282%5E4%29%5E96+=+2%5E384
25%5E190+=+%285%5E2%29%5E190+=+5%5E380

16%5E96%2A25%5E190+=+2%5E384%2A5%5E380+=+2%5E4%2A10%5E380+=+16%2A10%5E380

16%5E96%2A21%5E3%2A25%5E190+=+21%5E3%2A16%2A10%5E380+=+148176%2A10%5E380

The product is the 6 digits 148176 followed by 380 zeros; the number of digits in the product is 386.