How do you use laws of exponents to simplify # (-2x^3y)^4#?

1 Answer
Don't Memorise
Aug 5, 2015

#=color(blue)(16* x^color(blue)(12) * y^color(blue)(4#

Explanation:

#(−2x^3y)^color(blue)(4#

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

Multiplying #color(blue)(4# with all three terms within the bracket.

#=(-2^color(blue)(4)) * x^color(blue)((3*4)) * y^color(blue)(4#

#=(-2^color(blue)(4)) * x^color(blue)((3*4)) * y^color(blue)(4#

#=(16) * x^color(blue)(12) * y^color(blue)(4#

#=color(blue)(16* x^color(blue)(12) * y^color(blue)(4#

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