Question

What is the simplest form of the product?

Answer 1

Answer:

The simplest form of :

$=\sqrt[3]{4x^2}\times \sqrt[3]{8x^7}=2x^3\sqrt[3]{4}$

Step-by-step explanation:

=$\sqrt[3]{4x^2}\times \sqrt[3]{8x^7}$

=$\sqrt[3]{4x^2\times 8x^7}$

=$\sqrt[3]{4\times 8x^{2+7}}$

Using identity : $x^m\times x^n=x^{m+n}$

=$\sqrt[3]{32x^{9}}$

Using identity : $a=\sqrt[3]{a^3}$

=$2x^3\sqrt[3]{4}$

The simplest form of :

$=\sqrt[3]{4x^2}\times \sqrt[3]{8x^7}=2x^3\sqrt[3]{4}$

Answer 2

Hello,
Please, see the attached file.
Thanks.