Algebra/Algebra

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Question
Rewrite (x^15)^1/5 as a radical expression and simplify, if possible.

I sure could use your help!!

Thanks

Answer
When you have x^a * x^b, the answer is x^(a+b).
Like 2^2 = 4 and 2^3 = 8, so (2^2)(2^3) = 2^(2+3) = 2^5 = 32, and that is 4*8.

Thus said, if we have (x^15)^(1/5), it is the same as x^(15/5) = x^3.

This can be tested using x=2.  It is known that 2^15 = 32,768 (which can be found in Excel).
If this is in cell A1, in A2 put =A1^(1/5).  In A2 the answer is 8.
This is 2*2*2, so it is 2^3, and that was the answer given already.

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Scott A Wilson

Expertise

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

Experience

I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

Publications
Documents at Boeing in assistance on the manufacturiing floor.

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MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

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Both my BS and MS degrees were given with honors.

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Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.

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