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Olegator [25]
3 years ago
12

Which of the following is the rational exponent expression of third root of 4 n? A) (4n)3

Mathematics
2 answers:
zhuklara [117]3 years ago
3 0

You have to check which of the following expressions is the rational exponent expression of third root of 4n, or mathematically, \sqrt[3]{4n} . Consider all cases:

A. (4n)^3=4^3\cdot n^3=64n^3\neq\sqrt[3]{4n} .

B. 3n^4\neq \sqrt[3]{4n} .

C. quantity of 4n to the one third power is (4n)^{\frac{1}{3} }=\sqrt[3]{4n} (by the definition of rational power).

D. 4 times n to the one third power is 4\cdot n^{\frac{1}{3} }=4\sqrt[3]{n}\neq \sqrt[3]{4n} .

Answer: correct choice is C.

BigorU [14]3 years ago
3 0
The answer to the question above should be letter "C. quantity of 4 n to the one-third power". This means that the radicand is the product of 4 and n. This product is raised to the power 1/3. Mathematically,
                                   (4n)^1/3
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