Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

A power to a power? How do I solve that?

Ok, so here's the deal. I'm given the equation

(6^(6x))(6x).

so it's like

^^ 6x

^6x

6

if that works :P

[I put the "^^" to indicate that it was the exponent of 6's exponent.]

Anyway, so I'm supposed to read it as being equal to

6^(f(x)).

And I gotta find what f(x) is.

So, it's gotta be (6x)^(6x), right?

So then how am I supposed to simplify that?

Update:

@Cobra-etc.: Ohhhh ok! Now why didn't I think of that...lol....mental block...turns out that answer was right! I was making it WAY too complicated!! Like thinking 6^6 & ugh too crazy. lol. thank you a LOT! :D

3 Answers

Relevance
  • 1 decade ago
    Favorite Answer

    if you have a power to a power you multiply them, so yes 6x * 6x, which equals 36x^2, just multiply the numbers and x's

  • 1 decade ago

    It looks like you are asking for (6x)^((6x)^6x). That is 6x raised to the 6x raised to the 6x.

    It is the same as (6x)^(6^6x^x) or (6x)^(46656x^x), but this is not really clear from the way the problem is stated.

  • ted s
    Lv 7
    1 decade ago

    was not going to do this but.....y = 6^[(6x)^(6x)]--->

    thus f(x) = [ 6 x] ^ [6x] as you thought

    which is also [46656 ^x] [ x^(6x)]

Still have questions? Get your answers by asking now.