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# Algebra/PSAT

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?

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

Volunteer

#### 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.

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

Awards and Honors
Both my BS and MS degrees were given with honors.

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