How do you simplify #(- 6r ^ { 4} t ) ( - 3r ^ { 3} t ^ { 2} )#?

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Answer 1 · 2017-09-28T00:45:01

#18r^7t^3#

#(-6r^4t)(-3r^3t^2)#

We need to multiply the brackets.

First we can deal with the negative signs. Two negatives become positive:

#(6r^4t)(3r^3t^2)#

Multiplying the coefficients:

#18(r^4t)(r^3t^2)#

Multiplying the #r# terms:

#18r^7(t)(t^2)#

Note that we can use laws of indices. When multiplying terms with the same base we can simply add the powers. So, #r^4r^3=r^(4+3)=r^7#

Multiplying the #t# terms:

#18r^7t^3#