The simplified value of the expression \sqrt[3]{\frac{3x}{25}}

ringearV

ringearV

Answered question

2021-08-04

The simplified value of the expression 3x253

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2021-08-05Added 102 answers

Step 1
Formula used:
(an)m=amn
=amn
The product rule for radicals,
abn=anbn
The quotient rule for radicals,
abn=anbn
Step 2
Use the product rule for radicals to simlify the expression.
3x253=3x553
=3x523×55
=(3x)(5)(52)(5)3
Use the relation between radical and rational exponent notation to get the final simplified value.
3x253=(15x)(53)3
=15x35
Hence, the simplified value of the provided expression is =15x35

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-29Added 2605 answers

Answer is given below (on video)

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