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!

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!

ganeshie8 · Answer

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

ganeshie8 · Answer

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

ganeshie8 · Answer

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

ganeshie8 · Answer

use the exponent property

$\huge x^m.x^n = x^{m+n}$

ganeshie8 · Answer

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

ganeshie8 · Answer

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

ganeshie8 · Answer

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

ganeshie8 · Answer

$\huge 8x^{6}y^{6}z^{7}$