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Paladinen [302]
3 years ago
14

(2.5×10−8)(9×10−10) Express your answer in scientific notation.

Mathematics
2 answers:
HACTEHA [7]3 years ago
7 0
We have given expression as

(2.5*10^{-8})(9*10^{-10}

Now we can multiply 2.5 and 9 and also combine exponents of 10.

(2.5*10^{-8}) * (9*10^{-10}) = 2.5*9 * 10^{-8-10}
                                                  = 22.5*10^{-18}

Now for writing it into scientific notation we have to shift decimal by one place in backward direction.
So we can write answer as

22.5*10^{-18} = 2.25*10^{-18}* 10 = 2.25*10^{-17}

So answer is 2.25*10^{-17}
Lunna [17]3 years ago
6 0
Answer: 2.25x 10^{-17}

Scientific notation is used in science because the number can be vary from so much that using decimal is making it hard. The number expressed in 10^{x} form. Both number in the question is already in scientific notation. Then to multiply the number and keep it at scienfitic notation the calculation should be:

2.5 x 10^{-8}x 9 x 10^{-10}= 22.5 x 10^{-18}= 2.25x 10^{-17}

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1 year ago
When will the equation p(b)=520(0.88)^b have a value less than 100?
yulyashka [42]

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The given equation will have value less than 100 whenever the value of b is greater than 12.89

Step-by-step explanation:

For the given equation, p(b) = 520 × 0.88^{b} to have a value less than 100 we can establish inequality as:

                     p(b) < 100

         or,  520 × 0.88^{b} < 100

         or, \frac{520}{520} × 0.88^{b} < \frac{100}{520}

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         or, ㏒ ( 0.88^{b} ) < ㏒  (\frac{1}{5.2})

         or, b× ㏒ 0.88 < ㏒  (\frac{1}{5.2})

         or,  \frac{log (\frac{1}{5.2}) }{log (0.88)}   <  b

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