Nonlinear Functions

SAT Math· difficulty 3/5

Which is equivalent to x2/3x^{-2/3}?

  • A

    1x2/3\dfrac{1}{x^{2/3}} only

  • B

    x23-\sqrt[3]{x^2}

  • C

    x23\sqrt[3]{x^2}

  • D

    1x23\dfrac{1}{\sqrt[3]{x^2}}

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Explanation

x2/3=1x2/3=1x23x^{-2/3} = \dfrac{1}{x^{2/3}} = \dfrac{1}{\sqrt[3]{x^2}}.

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