Question

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

Answer 1

Answer: it's c to put it simply

Explanation:

Answer 2

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

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√(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}`