10
QuizMultiple Choice

N/A — Exam

Question 10 • Algebra II

What is the simplified form of the following expression? cube root of 4 x over 5

Answer
A
the fraction with numerator cube root of 20 x and denominator 5
B
the fraction with numerator cube root of 100 x and denominator 5
C
the fraction with numerator cube root of 100 x and denominator 125
D
the fraction with numerator cube root of 4 x and denominator 5

Explanation

Rewrite the expression as ∛(4x/5). To remove the 5 from the denominator inside the cube root, multiply the fraction by 25/25: ∛(4x/5) = ∛(100x/125). Since ∛125 = 5, this becomes ∛(100x)/5, the fraction with numerator cube root of 100x and denominator 5.

AI-written and checked against the verified answer.

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