Question

simplify the expression: (I would appreciate you explaining and showing steps, as well!)
(4x^3y^2z^4)(2x^3y^4z^3).
^ indicates the proceeding term is an exponent!

Answer 1

\(\huge (4x^3y^2z^4)(2x^3y^4z^3)\)

Answer 2

lets group by like terms,
all x together
all y together
all z together

ok

Answer 3

\(\huge (\ (4 .2)(x^3x^3)(y^2y^4)(z^4z^3) \ )\)

Answer 4

use the exponent property

\(\huge x^m.x^n = x^{m+n}\)

Answer 5

\(\huge (\ (4.2)(x^{3+3})(y^{2+4})(z^{4+3})\ )\)

Answer 6

\(\huge (\ (4.2)(x^{6})(y^{6})(z^{7})\ )\)

Answer 7

\(\huge (\ (8)(x^{6})(y^{6})(z^{7})\ )\)

Answer 8

\(\huge 8x^{6}y^{6}z^{7}\)