Question

Please answer like this: 1) -insert answer- 2) -insert answer-

Answer 1

1. 2^9 = 512
2. as you can split up the fact in 3 hours it is 2^9 to find out one hour (divide by 3) which is 2^3 so we would just multiply it by 2 which equals 2^6

Answer 2

Answer:

  1) 2^9 = 512

  2) 2^(3t) = 2^6 for t=2

Step-by-step explanation:

1) An exponent is used to signify repeated multiplication. Here, the factor 2 is repeated 9 times, so the expression can be written using an exponent as ...

  2^9

Using any of a variety of means, the value of this expression can be found to be ...

  2^9 = 512

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2) Assuming the bacteria reproduce by multiplying by some factor in a given time, we can divide the original expression into 3 parts:

  (2×2×2) × (2×2×2) × (2×2×2)

If this represents the number after 3 hours, then the number after 2 hours is expected to be ...

  (2×2×2) × (2×2×2) = 2^6

That is, there will be (2 h)/(3 h) = 2/3 times as many multiplications by a factor of 2. (2/3)(9) = 6 will be the exponent for the number after 2 hours.