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Y_Kistochka [10]
3 years ago
8

How many terminal zeros does the integer equal to 80^16*75^8 have? PLZ HURRY DOING A TEST

Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

24 terminal zeros

Step-by-step explanation:

Here, we want to know the number of terminal zeros that the product if the integers above has

Terminal zeros refer to the zeros at the right of the last non zero digits

The product we are dealing with is;

80^16 * 75^8

80^16 itself has 16 terminal zeros

while 75^8 should have 8 terminal zeros

So the total number of expected terminal zeros is simply the addition of both terminal zeros and that gives 16 + 8 = 24 terminal zeros

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