How do you simplify #(8x^6 y^3)^(1/3) #?

2 Answers
Kalyanam S.
Aug 10, 2018

#color(brown)(=> 2 x^2 y#

Explanation:

#(8x^6 y^3)^(1/3)#

#(2^3 x^6 y^3)^(1/3)#

#=> 2^(3/3)x^(6/3) y^(3/3)#

#color(brown)(=> 2 x^2 y#

Jim G.
Aug 10, 2018

#2x^2y#

Explanation:

#"using the "color(blue)"law of exponents"#

#•color(white)(x)(a^m)^n=a^((mxxn))#

#"this can be extended to each factor inside the parenthesis"#

#(8x^6y^3)^(1/3)#

#=8^((1xx1/3))x^((6xx1/3))y^((3xx1/3))#

#=8^(1/3)x^2y^1=2x^2y#

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