Answer:
[tex]81x^{22}y^{16} z^{34}[/tex]
Step-by-step explanation:
Include exponents outside parentheses:
[tex](-xyz^3)^6(x^2y^3z^4)^2(-3^4x^3yz^2)^4\\=(x^6y^6z^{18})(x^4y^6z^8)(81x^{12} y^4z^8)[/tex]
Multiply using the product rule:
[tex](x^6y^6z^{18})(x^4y^6z^8)(81x^{12} y^4z^8)\\=(x^{10}y^{12}z^{26} )(81x^{12} y^4z^8)\\=81x^{22}y^{16} z^{34}[/tex]
