Question

What is the following product ? 3sqrt 16x^7 * 3sqrt 12x^9

Answer 1

Answer:

$4x^5\sqrt[3]{3x}$

Step-by-step explanation:

$\sqrt[3]{16x^7} \times \sqrt[3]{12x^9}\\\\(2^4 x^7)^{\frac{1}{3}} \times (2^2 \times 3 x^9)^{\frac{1}{3}}\\\\2^{\frac{4}{3}} \times x^{\frac{7}{3}} \times 2^{\frac{2}{3}} \times 3^{\frac{1}{3}} \times x^{\frac{9}{3}}\\\\2^{\frac{4}{3} + \frac{2}{3}} \times x^{\frac{7}{3} + 3} \times 3^{\frac{1}{3}}\\\\2^{\frac{6}{3}} \times x^{\frac{16}{3}} \times\sqrt[3]{3}\\\\2^2 x^5 \sqrt[3]{x} \times \sqrt[3]{3} \\\\4x^5 \sqrt[3]{3x}$