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given xgt 0 , rewrite the following expression in simplest radical form. sqrt [4](16x^8)cdot sqrt (9x^5) answer attemptiout of square

Question

Given xgt 0 , rewrite the following expression in simplest radical form. sqrt [4](16x^8)cdot sqrt (9x^5) Answer Attemptiout of square

Solution

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4.3 (391 Votos)
Valeska Elite · Tutor por 8 anos

Resposta

To simplify the given expression, we need to rewrite each radical separately and then multiply the results.First, let's simplify : We know that and \(x^8 = (x^2)^4\). Therefore, Next, let's simplify : We know that . Therefore, Now, we combine the simplified forms: This simplifies to: Finally, we can rewrite as : Thus, the simplest radical form of the given expression is: