Question

What is the simplest form of the product?

Answer 1

Hello,
Please, see the attached file.
Thanks.

Answer 2

The simplest form of :

`=\sqrt[3]{4x^2}* \sqrt[3]{8x^7}=2x^3\sqrt[3]{4}`

Explanation:

=
`\sqrt[3]{4x^2}* \sqrt[3]{8x^7}`

=
`\sqrt[3]{4x^2* 8x^7}`

=
`\sqrt[3]{4* 8x^(2+7)}`

Using identity :
`x^m* 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}* \sqrt[3]{8x^7}=2x^3\sqrt[3]{4}`