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Math Help - Common Factor

  1. #1
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    Common Factor

    Factor out the common factor of 2x from

    14x^(3/5) * 16x^(1/2)

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  2. #2
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    Quote Originally Posted by sharkman View Post
    Factor out the common factor of 2x from

    14x^(3/5) * 16x^(1/2)
    The first step will be to multiply the two factors:

    14x^{\frac{3}{5}}\, \times\, 16x^{\frac{1}{2}}\, =\, 14\times 16\times x^{\frac{3}{5}\, +\, \frac{1}{2}}\, =\, 224x^{\frac{11}{10}}

    You can then factor out 224x (or just the specified 2x), leaving behind one tenth-root of x, times whatever you didn't factor out.

    This seems a very odd exercise....
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  3. #3
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    Quote Originally Posted by stapel View Post
    The first step will be to multiply the two factors:

    14x^{\frac{3}{5}}\, \times\, 16x^{\frac{1}{2}}\, =\, 14\times 16\times x^{\frac{3}{5}\, +\, \frac{1}{2}}\, =\, 224x^{\frac{11}{10}}

    You can then factor out 224x (or just the specified 2x), leaving behind one tenth-root of x, times whatever you didn't factor out.

    This seems a very odd exercise....
    I agree. I looked at it before, but was reluctant to reply because I could see absolutely no reason to factor out a 2x....perhaps the OP copied the question incorrectly.
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  4. #4
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    Thanks...

    Thank you your input and information. I will review your replies and practice similar questions.
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