Divide (30x+70) ÷ 5
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To find the highest power of 5 dividing
90×80×⋯×10
we first need to find the highest power of 5 which divides each part
For parts all the parts but 50 , the highest power of 5 is simply 5 , since they are not divisible by 25 . Only 50 has the highest power of 25 , or 52 .
We simply need to add all the exponents to get the highest exponent dividing the whole thing, which gives us
1+1+1+1+2+1+1+1+1=10
This means that 5^10=9765625 is the highest power of 5 dividing this expression.
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