In the following, simplify using absolute value signs as needed.\sqrt[3]{80x^{7}y^{6}}

aramutselv

aramutselv

Answered question

2021-12-09

In the following, simplify using absolute value signs as needed.
80x7y63

Answer & Explanation

movingsupplyw1

movingsupplyw1

Beginner2021-12-10Added 30 answers

Given information: An expression is given as 80x7y63.
Calculations: We have been given an expression is 80x7y63.
To simplify the radical expressions by using absolute value as needed, we must know about the radical properties and the index value of root is even or odd as shown below:
We know that, (ab)m=ambm and the corresponding product property of radical expression is abn=anbn.
80x7y63 [Simplify the cube root of 80x7y6 with radical properties]
8x6y610x3 [Rewrite 80x7y6=8x6y610x]
(2x2y2)3310x3 [By using radical property abn=anbn]
2x2y210x3 [ann=|a|, if the value of index is odd]
2x2y210x3
Hence, the simplification of 80x7y63 is 2x2y210x3

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