Results 1 to 4 of 4

Math Help - Index Laws and more - HELP! URGENT

  1. #1
    Newbie
    Joined
    Jun 2007
    Posts
    22

    Exclamation Index Laws and more - HELP! URGENT

    Simplify

    2^n * 9^2n+1 / 6^n-2

    x^-3/4 * x^9/8

    Sqroot of x^3 divided sqroot of x

    (p + 3) (p + 3)^-2/5
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by mibamars View Post
    Simplify
    x^-3/4 * x^9/8
    x^{-3/4+9/8} = x^{-6/8+9/8} = x^{3/8}
    Sqroot of x^3 divided sqroot of x
    \frac{\sqrt{x^3}}{\sqrt{x}} = \frac{x^{3/2}}{x^{1/2}} = x^{3/2 - 1/2}= x
    (p + 3) (p + 3)^-2/5
    (p+3)^{1-2/5} = (p+3)^{5/5-2/5} = (p+3)^{3/5}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member DivideBy0's Avatar
    Joined
    Mar 2007
    From
    Melbourne, Australia
    Posts
    432
    Quote Originally Posted by mibamars View Post
    Simplify

    2^n * 9^2n+1 / 6^n-2
    \frac{2^n \times 9^{2n+1}}{6^{n-2}}=\frac{2^n \times (9^2)^n \times 9^1}{6^n \times 6^{-2}}=\frac{2^n \times 81^n}{6^n} \times \frac{9}{6^{-2}}= \left(2 \times 81 \times \frac{1}{6} \right)^n \times 9 \times 36=324\times27^n If someone knows an easier way please tell me, i haven't done these in a while
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,719
    Thanks
    634
    Hello, mibamars!

    Simplify: . \frac{2^n\cdot9^{2n+1}}{6^{n-2}}

    We have: . \frac{2^n\left(3^2\right)^{2n+1}}{(2\cdot3)^{n-2}}

    . . . . . . = \;\frac{2^n\cdot3^{4n+2}}{2^{n-2}\cdot3^{n-2}}

    . . . . . . = \;2^{n-(n-2)}\cdot3^{(4n+2)-(n-2)}

    . . . . . . = \;2^2\cdot3^{3n+4}

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Please help index laws
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: October 31st 2010, 12:37 AM
  2. Index Laws 1
    Posted in the Algebra Forum
    Replies: 4
    Last Post: November 22nd 2008, 11:48 PM
  3. Index Laws 2
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 22nd 2008, 09:31 PM
  4. Index Laws
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 22nd 2008, 05:51 PM
  5. Index laws
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 9th 2008, 04:36 AM

Search Tags


/mathhelpforum @mathhelpforum