Answer:
[tex]7x^3y^4z^2[/tex]
Step-by-step explanation:
find the equivalent expression
[tex]\sqrt[3]{343x^9y^{12}z^6}[/tex]
we take cube root for each term
[tex]\sqrt[3]{343} =\sqrt[3]{7*7*7}=7[/tex]
[tex]\sqrt[3]{x^9} =\sqrt[3]{x^3*x^3*x^3}=x^3[/tex]
[tex]\sqrt[3]{y^{12}} =\sqrt[3]{y^3*y^3*y^3*y^3}=y^4[/tex]
[tex]\sqrt[3]{z^6} =\sqrt[3]{z^3*z^3}=z^2[/tex]
Now we combine all the terms
[tex]7x^3y^4z^2[/tex]
