How do you simplify $3x^(2/3) y^(3/4) (2x^(5/3) y^(1/2))^3$ ?

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Answer 1 · 2016-06-01T06:05:40

$3x^(2/3)y^(3/4)(2x^(5/3)y^(1/2))^3=24x^(13/3)y^(9/4)$

$3x^(2/3)y^(3/4)(2x^(5/3)y^(1/2))^3$

= $3x^(2/3)y^(3/4)(2^3(x^(5/3))^3(y^(1/2))^3)$

= $3x^(2/3)y^(3/4)*8(x^(5/3xx3))(y^(1/2xx3))$

= $24x^(2/3)y^(3/4)(x^5)(y^(3/2))$

= $24x^(2/3+5)y^(3/4+3/2)$

= $24x^(13/3)y^(9/4)$

How do you simplify 3x^(2/3) y^(3/4) (2x^(5/3) y^(1/2))^3 3x^(2/3) y^(3/4) (2x^(5/3) y^(1/2))^3 ?