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?


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Scott A Wilson


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


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