Results 1 to 8 of 8

Math Help - Exponents

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    19

    Exponents

    (2t^3/5t^-4)^-2 I need help in this problem

    It asks to simplify the exponent but the catch is the answer must be positive exponents ant help will be appreciated greatly
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Dec 2008
    Posts
    152
    Quote Originally Posted by Gomaz23 View Post
    (2t^3/5t^-4)^-2 I need help in this problem

    It asks to simplify the exponent but the catch is the answer must be positive exponents ant help will be appreciated greatly
    <br />
(\frac {2t^3}{5t^{-4}})^{-2} = (\frac{2t^7}{5})^{-2} = \frac {5^2}{2^2t^{14}} = \frac {25}{4t^{14}}<br />
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2008
    Posts
    19
    Can you explain further. thnks tho
    Last edited by mr fantastic; January 25th 2009 at 02:44 PM. Reason: Deleted language.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Dec 2008
    Posts
    152
    what part is troubling you?

    t^{-2} = \frac{1}{t^2}

    do you understand now?
    Last edited by mr fantastic; January 25th 2009 at 02:44 PM. Reason: Fixed the latex
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Oct 2008
    Posts
    19
    howd you get 2sqrd
    Follow Math Help Forum on Facebook and Google+

  6. #6
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    12
    Awards
    1
    Quote Originally Posted by Gomaz23 View Post
    (2t^3/5t^-4)^-2 I need help in this problem

    It asks to simplify the exponent but the catch is the answer must be positive exponents ant help will be appreciated greatly
    Hi Gomaz23,

    Here's another approach


    \left(\frac{2t^3}{5t^{-4}}\right)^{-2}=\left(\frac{5t^{-4}}{2t^3}\right)^2=\frac{25t^{-8}}{4t^6}=\frac{25t^{-14}}{4}=\frac{25}{4t^{14}}
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Member
    Joined
    Dec 2008
    Posts
    152
    <br />
\left( \frac{2t^7}{5} \right)^{-2} = \left( \left( \frac{2t^7}{5} \right)^{-1} \right)^2 = \left( \frac{5}{2t^7} \right)^2 = \frac{5^2}{2^2 \cdot t^{7\cdot2}}<br />
    Last edited by mr fantastic; January 25th 2009 at 02:55 PM. Reason: Made the brackets larger
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by metlx View Post
    what part is troubling you?

    t^{-2} = \frac{1}{t^2}

    do you understand now?
    Quote Originally Posted by Gomaz23 View Post
    howd you get 2sqrd
    It was posted as an example to try and help you see where the positive power has come from.

    You are expected to know the rule t^{-n} = \frac{1}{t^n}. In your problem n = 14.

    Note: If you expect to get additional help then you need to be specific in what you don't understand. Making some general comment that amounts to "I don't get it" is less than helpful in knowing what further help you need.

    You might benefit from going back and reviewing the index laws you have learned so far.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Exponents and Log Help!!
    Posted in the Algebra Forum
    Replies: 17
    Last Post: August 14th 2011, 10:21 AM
  2. Exponents
    Posted in the Algebra Forum
    Replies: 8
    Last Post: April 24th 2010, 04:30 PM
  3. exponents
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 17th 2010, 08:37 AM
  4. Exponents
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 18th 2008, 09:51 PM
  5. exponents
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 28th 2008, 01:53 PM

Search Tags


/mathhelpforum @mathhelpforum