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Nonlinear Functions

SAT Math· difficulty 5/5

Simplify: a23⋅a6\sqrt[3]{a^2} \cdot \sqrt[6]{a} as a single power of aa.

  • A

    a1/2a^{1/2}

  • B

    a2/3a^{2/3}

  • C

    a7/6a^{7/6}

  • D

    a5/6a^{5/6}

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Explanation

a2/3⋅a1/6=a4/6+1/6=a5/6a^{2/3} \cdot a^{1/6} = a^{4/6 + 1/6} = a^{5/6}.

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