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

1 Answer
Sep 28, 2017

18r^7t^3

Explanation:

(-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