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alexisbrad5256
24.06.2019 •
Mathematics
What is the following product? assume x ≥ 0\sqrt[3]{x^{2} } . \sqrt[4]{x^{3} }a. x\sqrt{x}b. \sqrt[12]{x^{5} }c. x(\sqrt[12]{x^{5} } )d. x6
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Ответ:
For this case we must multiply the following expression:
By definition of properties of otencias and roots we have:
We rewrite the terms of the expression:
So, we have:
Applying the above definition we have:
We multiply the exponents:
We combine using the product rule for radicals.
By definition of multiplication properties of powers of the same base, we put the same base and add the exponents:
Option C
Ответ: