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# Finding Products and Simplifying Exponents

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Please help with the following problems. I need more detail on each problem how the solution was achieved using these steps.

2. Find the product: (x - 2)(x + 3)(x - 4)
(x - 2)(x + 3)(x - 4) =

3. Simplify without having negative exponents: (- 3s-3t2)-2
(- 3s-3t2)-2

4. Convert to scientific notation and then solve. Give answer in scientific notation: (0.0000003)4

5. Factor completely: 3a3b - 3ab3
3a3b - 3ab3

13. For a certain time period the ratio of the dollar value of exports to the dollar value of imports for the United States were 2 to 3. If the value of exports during that time period was 48 billion dollars, then what was the value of imports?

Solution. I Assume that the value of imports was x dollars. Then I have (SEE ATTACHMENT)

So, the value of imports was 72 billion dollars.

##### Solution Summary

This solution helps with algebra problems. It involves finding products and simplifying exponents. Step by step calculations are given.

Solution provided by:
###### Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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