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\frac{14xy^{2}\times 21z^{2}}{\left(-7yz\right)^{2}}
Multiply y and y to get y^{2}.
\frac{294xy^{2}z^{2}}{\left(-7yz\right)^{2}}
Multiply 14 and 21 to get 294.
\frac{294xy^{2}z^{2}}{\left(-7\right)^{2}y^{2}z^{2}}
Expand \left(-7yz\right)^{2}.
\frac{294xy^{2}z^{2}}{49y^{2}z^{2}}
Calculate -7 to the power of 2 and get 49.
6x
Cancel out 49y^{2}z^{2} in both numerator and denominator.
\frac{14xy^{2}\times 21z^{2}}{\left(-7yz\right)^{2}}
Multiply y and y to get y^{2}.
\frac{294xy^{2}z^{2}}{\left(-7yz\right)^{2}}
Multiply 14 and 21 to get 294.
\frac{294xy^{2}z^{2}}{\left(-7\right)^{2}y^{2}z^{2}}
Expand \left(-7yz\right)^{2}.
\frac{294xy^{2}z^{2}}{49y^{2}z^{2}}
Calculate -7 to the power of 2 and get 49.
6x
Cancel out 49y^{2}z^{2} in both numerator and denominator.