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How do you use laws of exponents to simplify #(x^3y)^8#?

1 Answer

Aug 5, 2015

#=x^color(blue)(24)y^(color(blue)(8)#

Explanation:

#(x^3y)^color(blue)(8#

As per property:
#color(blue)((ab)^m =a^m * b^m#
Applying the same property to the expression.

#color(blue)(8) # is multiplied with each term within the bracket.

#=x^color(blue)((3*8))y^(color(blue)(8)#

#=x^color(blue)(24)y^(color(blue)(8)#

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