Answer:
The answer to your question is the first choice
Step-by-step explanation:
Data
[tex]\sqrt{196m^{12}n^{4}}[/tex]
Process
1.- Find the prime factors of 196
196 2
98 2
49 7
7 7
1
Express 196 as a composition of prime factors
196 = 2²7²
2.- Express the root as exponents
[tex]\sqrt{196m^{12}n^{4}}[/tex] = [tex]\sqrt{2^{2}7^{2}m^{12}n^{4}}[/tex]
= 2²/² 7 ²/² m¹²/² n⁴/²
Simplify = 2 7 m⁶ n²
Result = 14m⁶n²
