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Taking the even root with absolute values, sixth root

812 views · Published 1 March 2013 · 2:24 · Indexed 21 October 2026

Channel: Brian McLogan · 2013 · Education

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👉 Learn how to find the 5th root of an expression. To find the 5th root of an expression, if the exponent of the expression is a multiple of 5, then the 5th root of the expression is the base of the expression with an exponent that is the quotient of the original exponent and 5. If the exponent of the expression is not a multiple of 5, then we express the expression as a product of two expressions of the same base with one expression having the exponent that is the highest multiple of 5 less than the exponent of the original expression and the other expression having the exponent which is the difference between the exponent of the original expression and the first expression. Then, the required 5th root is the first expression with an exponent that is the quotient of the original exponent of the first expression and 5 together with the second expression left as a 5th root radical.

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