QuestionJuly 12, 2026

A What is the value of x in the cquation (3)/(6) 3sqrt [5]((3x)^5)=18 ? B. C. D. 9

A What is the value of x in the cquation (3)/(6) 3sqrt [5]((3x)^5)=18 ? B. C. D. 9
A What is the value of x in the cquation
(3)/(6)
3sqrt [5]((3x)^5)=18 ?
B.
C.
D. 9

Solution
4.7(208 votes)

Answer

2 Explanation 1. Simplify the radical expression Since the index of the radical is 5 and the exponent is 5, they cancel each other out: \sqrt[5]{(3x)^5} = 3x. The equation becomes 3(3x) = 18. 2. Solve for x Simplify the equation: 9x = 18. Divide both sides by 9: x = \frac{18}{9}.

Explanation

1. Simplify the radical expression<br />Since the index of the radical is 5 and the exponent is 5, they cancel each other out: $\sqrt[5]{(3x)^5} = 3x$. The equation becomes $3(3x) = 18$.<br /><br />2. Solve for x<br />Simplify the equation: $9x = 18$. Divide both sides by 9: $x = \frac{18}{9}$.
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