Answer:
The simplest form of :
[tex]=\sqrt[3]{4x^2}\times \sqrt[3]{8x^7}=2x^3\sqrt[3]{4}[/tex]
Step-by-step explanation:
=[tex]\sqrt[3]{4x^2}\times \sqrt[3]{8x^7}[/tex]
=[tex]\sqrt[3]{4x^2\times 8x^7}[/tex]
=[tex]\sqrt[3]{4\times 8x^{2+7}}[/tex]
Using identity : [tex]x^m\times x^n=x^{m+n}[/tex]
=[tex]\sqrt[3]{32x^{9}}[/tex]
Using identity : [tex]a=\sqrt[3]{a^3}[/tex]
=[tex]2x^3\sqrt[3]{4}[/tex]
The simplest form of :
[tex]=\sqrt[3]{4x^2}\times \sqrt[3]{8x^7}=2x^3\sqrt[3]{4}[/tex]
