Find the simplified product: 3 sqrt 2x^5 *3 sqrt 64x^9

Question

Find the simplified product: 3 sqrt 2x^5 *3 sqrt 64x^9

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Maria 2 weeks 2021-09-10T11:55:34+00:00 2 Answers 0

Answers ( )

  1. Ava
    0
    2021-09-10T11:57:07+00:00

    Answer:

    yall its C

    Step-by-step explanation:

  2. Ava
    0
    2021-09-10T11:57:17+00:00

    Answer:

    \large\boxed{4x^4\sqrt[3]{2x^2}}

    Step-by-step explanation:

    \sqrt[3]{2x^5}\cdot\sqrt[3]{64x^9}\qquad\text{use}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\=\sqrt[3]{2}\cdot\sqrt[3]{64}\cdot\sqrt[3]{x^5x^9}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt[3]2\cdot4\cdot\sqrt[3]{x^2x^3x^9}\\\\=4\sqrt[3]2\cdot\sqrt[3]{x^2x^{12}}\\\\=4\sqrt[3]2\cdot\sqrt[3]{x^2x^{4\cdot3}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=4\sqrt[3]2\cdot\sqrt{x^2(x^4)^3}\\\\=4\sqrt[3]2\cdot\sqrt[3]{x^2}\cdot\sqrt[3]{(x^4)^3}\qquad\text{use}\ \sqrt[n]{a^n}=a\\\\=4\sqrt[3]{2x^2}\cdot x^4\\\\=4x^4\sqrt[3]{2x^2}

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