How do you simplify #(10xy^4z^3)(3x^4y^6z^3)#?

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Answer 1 · 2017-01-25T15:02:40

See the entire simplification process below:

First, group like terms together:

#(10 xx 3)(x xx x^4)(y^4 xx y^6)(z^3 xx z^3)#

Next, use these two rules for exponents to combine the like terms:

#a = a^color(red)(1)#

#x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) +color(blue)(b))#

#(10 xx 3)(x^color(red)(1) xx x^4)(y^4 xx y^6)(z^3 xx z^3)#

#30x^(color(red)(1)+4)y^(4+6)z^(3+3)#

#30x^5y^10z^6#