How do you simplify #(\frac { 3x ^ { 8} y ^ { 5} } { 2} ) ^ { 3}#?

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Answer 1 · 2017-03-15T11:03:48

#27/8 x^24y^15#

#color(blue)(((3x^8 y^5)/(2))^3#

Remember that #color(brown)((x/y)^z=((x^z)/(y^z))#

So,

#rarr(3x^8 y^5)^3/(2)^3#

And also we should know #color(brown)((xy)^z=(x^z y^z)#

#rarr(3^3(x^8)^3 (y^5)^3)/8#

#rarr(27x^24 y^15)/8#

#color(green)(rArr27/8 x^24y^15#