Answer:
[tex] {(7 {x}^{2}yz })^{3} = 343 {x}^{6} {y}^{3} {z}^{3} [/tex]
Step-by-step explanation:
We simplify
[tex] {(7 {x}^{2}yz })^{3} [/tex]
using the laws of exponents.
We use the following law of exponents.
[tex] {( {a}^{m} } )^{n} = {a}^{mn} [/tex]
We apply this law to get:
[tex] {(7 {x}^{2}yz })^{3} = {7}^{3} {x}^{2 \times 3} {y}^{3} \times {z}^{3} [/tex]
We multiply the exponents to get:
[tex] {(7 {x}^{2}yz })^{3} = 343 {x}^{6} {y}^{3} {z}^{3} [/tex]
