Algebra/PSAT

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Question
If (a^6*a^6)^k=(a^3)^(k+5), where a is a constant greater than 1, what is the value of k?

Answer
Note a^6 * a^6 is a^12.
Next, note that when a number is cubed and then that is raised to another power,
just take that new power times 3.  That gives a^(3k+15).

Since we have a^12 = a^(3k+15), we need 12 = 3k + 15.
To get the answer, subtract 15 from both sides,
and then divide both sides by 3.

To me, that seems like it might give -1 as the value of k.
That what you get?

Algebra

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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.

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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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