1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Scientific notation root powers exponents question

  1. Jan 17, 2012 #1
    1. The problem statement, all variables and given/known data

    scientific notation

    I have a problem that displays the 4th root of the square root of 5.2 x 10 to the -9th power

    2. Relevant equations

    4 . ............. .... .... -9
    ... sq rt of 5.2 X 10

    Code (Text):


    4                        -9
       sq rt of 5.2 X 10

     
    3. The attempt at a solution

    The answer I get is +- 8.5 x 10 to the negative 3rd power
    but the book is giving me an answer of +- 2.7 x 10 to the -2nd power

    I get the +- because it's an even root which means an absolute or + or - number can be squared.
    I moved the decimal place 3 places to the right so that the power of -12 can be easily divided by the power of 4.
    I tried reversing the decimal place as well so that the power is -8.
    I am not getting why I am not coming up with the same answer as the book. I really believe the book is in error.
    Can anyone verify either of these and please explain what I am doing wrong if I am incorrect?

    Thank you so much in advance.
     
  2. jcsd
  3. Jan 17, 2012 #2

    Mark44

    Staff: Mentor

    Your descriptions are ambiguous. Is this what you mean?
    [tex]\sqrt[4]{\sqrt{5.2~ X~ 10^{-9}}}[/tex]

    Or is it this?
    [tex]\sqrt[4]{\sqrt{5.2}}~X~10^{-9}[/tex]

    In either case, the fourth root of the square root is the eighth root.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Scientific notation root powers exponents question
  1. Exponent Question (Replies: 8)

  2. Exponent questions (Replies: 14)

Loading...