Answer:
343x^6y^3z^3
Step-by-step explanation:
One of the rules of exponents demands:
[tex](abc)^m=a^mb^mc^m[/tex]
where a, b, c and m are coefficients.
Furthermore, you use the following rule for exponents of variables that already have an exponent:
[tex](a^n)^m=a^{m*n}[/tex]
Thus, you can apply this rules in the following way:
[tex](7x^2yz)^3=(7)^3(x^2)^3(y)^3(z)^3=7*7*7x^{2*3}y^3z^3=343x^6y^3z^3[/tex]
hence, the answer is 343x^6y^3z^3