What is the following product? 3 sqrt 16×7 . 3 sqrt 12×9

Question

What is the following product? 3 sqrt 16×7 . 3 sqrt 12×9

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Evelyn 14 mins 2021-10-13T04:15:03+00:00 2 Answers 0

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    0
    2021-10-13T04:16:15+00:00

    Answer:  The required product is 4x^5\sqrt[3]{3x}

    Step-by-step explanation:  We are given to find the following product :

    P=\sqrt[3]{16x^7}\times \sqrt[3]{12x^9}.

    We will be using the following property of exponents :

    (i)~\sqrt[b]{x^a}=x^\frac{a}{b}\\\\(ii)~x^a\times x^b=x^{a+b}\\\\(iii)~x^a\times y^a=(xy)^a.

    The required multiplication is as follows :

    P\\\\=\sqrt[3]{16x^7}\times \sqrt[3]{12x^9}\\\\=(16x^7)^\frac{1}{3}\times (12x^9)^\frac{1}{3}\\\\=(16\times12\times x^{7+9})^\frac{1}{3}\\\\=(192x^{16})^\frac{1}{3}\\\\=192^\frac{1}{3}x^\frac{16}{3}\\\\=(64\times3)^\frac{1}{3}x^\frac{16}{3}\\\\=4^{3\times\frac{1}{3}}3^\frac{1}{3}x^{5+\frac{1}{3}}\\\\=4\times 3^\frac{1}{3}x^5\times x^\frac{1}{3}\\\\=4x^5\sqrt[3]{3x}.

    Thus, the required product is 4x^5\sqrt[3]{3x}.

    0
    2021-10-13T04:16:27+00:00

    Answer:

    Use this website for this used question. Hope this helps.

    https://brainly.com/question/8567836

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27:3+15-4x7+3-1=? ( )