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Summer Clouds moderators

28/11/2017 at 10:18
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The quotient   \(\dfrac{x^4.\left(x^2\right)^5}{x^5}\) can be expressed as x y . What is the integer value of y?  




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    Nguyễn Hưng Phát 28/11/2017 at 11:47

    We have:\(\dfrac{x^4.\left(x^2\right)^5}{x^5}=xy\Leftrightarrow\dfrac{x^4.x^{10}}{x^5}=xy\Leftrightarrow x^9=xy\)

    With x=0 so y\(\in\)Z

    With x\(\ne\)0,because \(x^9=xy\Leftrightarrow x^8=y\)

  • ...
    Phan Thanh Tinh Coordinator 28/11/2017 at 12:19

    \(\dfrac{x^4.\left(x^2\right)^5}{x^5}=\dfrac{x^4.x^{10}}{x^5}=x^9\Rightarrow y=9\)


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