Simplify radicals and exponents sqrt[3]{(x^{3} y)^{2}y^{4}}

zi2lalZ

zi2lalZ

Answered question

2021-03-01

Simplify radicals and exponents (x3 y)2y43

Answer & Explanation

Ayesha Gomez

Ayesha Gomez

Skilled2021-03-02Added 104 answers

Distribute the exponent 2 inside the bracket.
Formula: (ab)c=abc
(x3 y)2y43
=x3 × 2y2y43
=x6y2y43
Since the bases are for y, so add the exponents.
Formula: ab  ac=ab+c
=x6y2y43
=x6y2 + 43
=x6y63
Because of the cube root we have to divide the exponents by 3.
x6y63
=x63y63
=x2y2
Finally answer: x2y2

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