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

1 Answer
Jun 1, 2016

Answer:

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

Explanation:

#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)#