You are here:

Advertisement

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

Answers by Expert:

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

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.