Which of the following is equivalent to x^-1/2 1) -1/2x 2) -√x 3) 1/√x 4) -1/2x

Question

Which of the following is equivalent to x^-1/2

1) -1/2x
2) -√x
3) 1/√x
4) -1/2x

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Thu Thủy 4 years 2021-08-16T20:38:50+00:00 1 Answers 16 views 0

Answers ( )

  1. RuslanHeatt
    0
    2021-08-16T20:40:41+00:00
    Reply

    Answer:

    Option (3) is correct.

    Step-by-step explanation:

    We need to find the expression that is equivalent to x^{-1/2}.

    The property is : x^{-a}=\dfrac{1}{x^a}

    Here, a = 1/2

    So,

    x^{-1/2}=\dfrac{1}{x^{1/2}}

    We know that, x^{1/2}=\sqrt{x}

    \dfrac{1}{x^{1/2}}=\dfrac{1}{\sqrt{x} }

    So, x^{-1/2} is equivalent to \dfrac{1}{\sqrt{x} }

    Hence, the correct option is (3).

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