Results 1 to 4 of 4

Math Help - check on working : (5 ^1/4 x 2 ^ 1/6)^2 / 5^-1/2 x 2 ^ 2/3

  1. #1
    Newbie
    Joined
    Jun 2011
    From
    Kuala Lumpur
    Posts
    7

    Post check on working : (5 ^1/4 x 2 ^ 1/6)^2 / 5^-1/2 x 2 ^ 2/3

    Hi,

    I was wondering if there is anything wrong with the working for the question above:

    my working
    (5 ^1/4 x 2 ^ 1/6)^2 / 5^-1/2 x 2 ^ 2/3

    = (5 ^ [1/4 x 2]) x (2 ^ [1/6 x 2]) / 5 ^-1/2 x 2 ^2/3

    = 5 ^ 1/2 x 2 ^ 1/3 / 5 ^-1/2 x 2 ^2/3

    = 5 ^ [1/2 -(-1/2)] x 2 ^ (1/3 - 2/3)

    = 5 x 2 ^ -1/3

    = 5 / 2 ^3

    = 5 / 8

    The answer provided is 10.

    Any help is appreciated.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,553
    Thanks
    1423

    Re: check on working : (5 ^1/4 x 2 ^ 1/6)^2 / 5^-1/2 x 2 ^ 2/3

    This is almost unreadable. Assuming that your question is to simplify \displaystyle \frac{\left(5^{\frac{1}{4}}\cdot 2^{\frac{1}{6}}\right)^2}{5^{-\frac{1}{2}}\cdot 2^{\frac{2}{3}}}, then

    \displaystyle \begin{align*} \frac{\left(5^{\frac{1}{4}}\cdot 2^{\frac{1}{6}}\right)^2}{5^{-\frac{1}{2}}\cdot 2^{\frac{2}{3}}} &= \frac{\left(5^{\frac{1}{4}}\right)^2\cdot \left(2^{\frac{1}{6}}\right)^2}{5^{-\frac{1}{2}}\cdot 2^{\frac{2}{3}}} \\ &= \frac{5^{\frac{1}{2}}\cdot 2^{\frac{1}{3}}}{5^{-\frac{1}{2}} \cdot 2^{\frac{2}{3}}} \\ &= 5^{\frac{1}{2} - \left(-\frac{1}{2}\right)} \cdot 2^{\frac{1}{3} - \frac{2}{3}} \\ &= 5^1 \cdot 2^{-\frac{1}{3}} \\ &= \frac{5}{2^{\frac{1}{3}}} \\ &= \frac{5}{\sqrt[3]{2}} \end{align*}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2011
    From
    Kuala Lumpur
    Posts
    7

    Re: check on working : (5 ^1/4 x 2 ^ 1/6)^2 / 5^-1/2 x 2 ^ 2/3

    Hi Thanks for checking my working. I'll type my working out in photoshop and post it as an image next time.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123

    Re: check on working : (5 ^1/4 x 2 ^ 1/6)^2 / 5^-1/2 x 2 ^ 2/3

    Quote Originally Posted by Citronette View Post
    Hi Thanks for checking my working. I'll type my working out in photoshop and post it as an image next time.
    Hello,

    why don't you use some LaTeX as it is usual here at MHF?

    Have a look here: http://www.mathhelpforum.com/math-he...ial-19060.html

    If you want to know how Prove It wrote the quotient move the mouse cursor over the formula and you'll see the code.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Please help check my working,thank you
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: August 11th 2010, 11:54 AM
  2. check my working
    Posted in the Statistics Forum
    Replies: 1
    Last Post: July 15th 2010, 10:26 PM
  3. Can you please check my working...
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 9th 2010, 03:38 PM
  4. Please check my working out
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 8th 2009, 07:00 AM
  5. Please can someone check my working?
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: February 13th 2008, 05:05 AM

Search Tags


/mathhelpforum @mathhelpforum