a and b are positive integers; [a^(1/2) times b^(1/3)]^6=432; what is the value of a times b? (I am told the answer is 12, which means a=3, b=4, but I can't derive the answer.)

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I am a retired chemist with a career in R/D including management. I have a PhD in Polymer Science as an elastomer physical chemist. I am a published chemist and a lecturer at the graduate school level. I am certified to teach science and mathematics in Ohio, was a "preferred substitute teacher" in two school districts in NE Ohio, and have tutored and taught science and mathematics in high school and middle school in Ohio for 9 years and since 2009 in Georgia. In my experience tutoring chemistry and mathematics, a 2-hour lesson is preferred over a 1-hour lesson to better accomplish understanding of the assignment. I also prefer to know ahead of time the assignment topic so I can review my personal textbooks and bring appropriate background material to the lesson.

For mathematics and chemistry, the tutoring normally involves completing problem sets, and the optimum tutoring lesson is a face-to-face meeting where assigned problems are solved, with the objective not only to get the correct answer but to explain the principles employed to enhance understanding of the topic. However, I have found that a telephone or email based lesson can be equally productive. If this is useful, I am willing to conduct lessons this way also.

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a and b are positive integers; [a^(1/2) times b^(1/3)]^6=432; what is the value of a times b? (I am told the answer is 12, which means a=3, b=4, but I can't derive the answer.)

I couldn't solve an SAT math problem (farmer picking pumpkins of the right weight and asking what ranges will he NOT pick) where I manipulated the word problem on a number line graph to give x<2 and x>10. I was asked to pick the answer that could be the correct one. The answers I had to choose from were in the form of absolute value inequality equations, I solved... read more

**Great Tutor** —
Mike has been great and helped my daughter so much. She has improved significantly. May have to get help with statistics in a few semesters!
...

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