急!!!數學~Power and Exponent

2012-03-18 7:08 pm
Evaluate and write the answer in faction (steps!!)
1) (4/5)^-2 ÷ (4/3)^0
Simplify (steps!!)
1) 81^x = 27 ^(x+2)
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show steps!!

1) At 9:00 a.m.,there are 600 bacteria in a culture. The number of bacteria in a
culture is given by the formal N=(600)(2^t) , where is the number of hours the culture has been growing. How many bacteria will there be at 4:00p.m. on the same day?

回答 (1)

2012-03-18 7:12 pm
✔ 最佳答案
Evaluate and write the answer in faction
(4/5)^-2 ÷ (4/3)^0

= (5/4)^2 ÷ 1

= 25/16

Simplify
1) 81^x = 27 ^(x+2)

3^(4x) = 3^[3(x + 2)]

4x = 3x + 6

x = 6

1 The time passed from 9:00 a.m to 4:00 p.m. is 7 hours

So, N = 600 * 2^7 = 76800 bacteria


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