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SSSSS [86.1K]
3 years ago
15

What is the following product?

Mathematics
1 answer:
devlian [24]3 years ago
6 0

Answer: Last Option

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

Step-by-step explanation:

To make the product of these expressions you must use the property of multiplication of roots:

\sqrt[n]{x^m}*\sqrt[n]{x^b} = \sqrt[n]{x^{m+b}}

we also know that:

\sqrt[3]{x^3} = x

So

\sqrt[3]{16x^7}*\sqrt[3]{12x^9}\\\\\sqrt[3]{16x^3x^3x}*\sqrt[3]{12(x^3)^3}\\\\x^2\sqrt[3]{16x}*x^3\sqrt[3]{12}\\\\x^5\sqrt[3]{16x*12}\\\\x^5\sqrt[3]{2^4x*2^2*3}\\\\x^5\sqrt[3]{2^6x*3}\\\\4x^5\sqrt[3]{3x}

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