To find the product [tex]\( (2 m^2 z^4)(2 m^2 z^2) \)[/tex], we can follow these steps:
1. Multiply the coefficients:
[tex]\[
2 \times 2 = 4
\][/tex]
2. Multiply the variables with the same base by adding their exponents:
- For [tex]\( m \)[/tex]:
[tex]\[
m^2 \times m^2 = m^{2+2} = m^4
\][/tex]
- For [tex]\( z \)[/tex]:
[tex]\[
z^4 \times z^2 = z^{4+2} = z^6
\][/tex]
3. Combine the results:
[tex]\[
4 \times m^4 \times z^6 = 4 m^4 z^6
\][/tex]
Thus, the product is [tex]\( 4 m^4 z^6 \)[/tex].
The correct answer is:
C. [tex]\( 4 m^4 z^6 \)[/tex]
