Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
−58×109=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
−5×108×9=−5072
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 50 and 72 using
GCF(50,72) = 2
−50÷272÷2=−2536
Therefore:
−58÷910=−2536
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For this case we have the following function: n (t) = 2400 * (5) ^ t For n (t) = 60000 we have: 60000 = 2400 * (5) ^ t We clear the value of t. For this we use the logarithm: (5) ^ t = 60000/2400 log5 ((5) ^ t) = log5 (60000/2400) t = log5 (60000/2400) t = 2 days Answer: the number of bacteria in the culture will be 60 comma 000 after: t = 2 days