Results 1 to 6 of 6
Like Tree1Thanks
  • 1 Post By earboth

Math Help - How to cancel out decimal exponents

  1. #1
    Member
    Joined
    Sep 2009
    Posts
    104
    Thanks
    1

    How to cancel out decimal exponents

    How would I state this:

    10L0.2(2.25L)0.3

    in terms of L1 or L?

    In previous exercises in my textbook, I've only dealt with a case where L is to the power of 0.5 (L0.5 = sqrt[L])

    I know that when you multiply two terms, you add their exponents. So could you restate the question as: 10 x L0.2 x2.250.3 x L0.3 ? I wouldn't know how to go from there though..
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,807
    Thanks
    116

    Re: How to cancel out decimal exponents

    Quote Originally Posted by snypeshow View Post
    How would I state this:

    10L0.2(2.25L)0.3

    in terms of L1 or L?

    In previous exercises in my textbook, I've only dealt with a case where L is to the power of 0.5 (L0.5 = sqrt[L])
    You can rearrange a decimal (fraction) into a proper fraction:

    \displaystyle{L^{0.3} = L^{\frac3{10}} = \sqrt[10]{L^3}}

    I know that when you multiply two terms, you add their exponents. So could you restate the question as: 10 x L0.2 x2.250.3 x L0.3 ? I wouldn't know how to go from there though..
    Your considerations are OK!

    In a product the order of the factors can be changed without changing the final result:

    \displaystyle{10 \cdot L^{0.2} \cdot (2.25 L)^{0.3} = 10 \cdot (2.25)^{0.3} \cdot L^{0.2} \cdot L^{0.3}= 10 \cdot (2.25)^{0.3} \cdot L^{\frac12}}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Sep 2009
    Posts
    104
    Thanks
    1

    Re: How to cancel out decimal exponents

    How would I express the final answer in terms of L^1 (or otherwise, just L)?

    Could I square the answer? so like: [10 * (2.25)^0.3 * L^0.5]^2

    I would get 162.6707657L, would that number still be correct? (I know decimals are evil, but in the actual question, I'd need a decimal number)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jul 2012
    From
    623 Atwells Ave,
    Posts
    8

    Re: How to cancel out decimal exponents

    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,807
    Thanks
    116

    Re: How to cancel out decimal exponents

    Quote Originally Posted by snypeshow View Post
    How would I express the final answer in terms of L^1 (or otherwise, just L)?

    Could I square the answer? so like: [10 * (2.25)^0.3 * L^0.5]^2

    I would get 162.6707657L, would that number still be correct? (I know decimals are evil, but in the actual question, I'd need a decimal number)
    I don't understand why you want to square the result of the simplifications(?).

    In your 1st post you wanted to transform a term. Squaring this term will change it's output if you plug in values of L.

    So the only possible way to get a single L is - in my opinion - :

    10 \cdot (2.25)^{0.3} \cdot L^{\frac12} = 10 \cdot \left(\frac94\right)^{\frac3{10}} \cdot \sqrt{L}

    ... but I'm not sure if it is this what you are looking for(?)
    Thanks from snypeshow
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    Sep 2009
    Posts
    104
    Thanks
    1

    Re: How to cancel out decimal exponents

    Yeah, that's what I wanted!! Thanks!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. why don't the t's cancel?
    Posted in the Algebra Forum
    Replies: 4
    Last Post: September 25th 2009, 01:30 PM
  2. Cancel package
    Posted in the LaTeX Help Forum
    Replies: 10
    Last Post: March 28th 2008, 07:12 PM
  3. Solving for x when x's cancel out?
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: February 11th 2008, 01:21 PM
  4. Solving for x when x's cancel out?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 11th 2008, 11:11 AM
  5. Replies: 11
    Last Post: January 15th 2008, 06:47 AM

Search Tags


/mathhelpforum @mathhelpforum