Answer:
[tex]162 {x}^{10} {y}^{4} {z}^{12} [/tex]
Step-by-step explanation:
[tex]2 {x}^{4} (9 {x}^{3} y^{2} {z}^{6} {)}^{2} [/tex]
➡️[tex] {9}^{2} \times ( {x}^{3} {)}^{2} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]
- ➡️ [tex]81 \times ( {x}^{3} {)}^{2} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]
- ➡️ [tex]81 {x}^{6} \times ( {y}^{2} {)}^{2} \times ( {z}^{6} {)}^{2} [/tex]
- ➡️ [tex]81 {x}^{6} {y}^{4} \times ( {z}^{6} {)}^{2} [/tex]
- ➡️ [tex]81 {x}^{6} {y}^{4} {z}^{12} [/tex]
- ➡️ [tex]2 {x}^{4} \times 81 {x}^{6} {y}^{4} {z}^{12} [/tex]
➡️[tex]162 {x}^{4} \times {x}^{6} {y}^{4} {z}^{12} [/tex]
➡️[tex]162 {x}^{4 + 6} {y}^{4} {z}^{12} [/tex]
➡️[tex]162 {x}^{10} {y}^{4} {z}^{12} [/tex] ✅
