Answered

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Find the product.

[tex]\[
\left(2 m^2 z^4\right)\left(2 m^2 z^2\right)
\][/tex]

A. [tex]\(4 m z^4\)[/tex]

B. [tex]\(4 m^4 z\)[/tex]

C. [tex]\(4 m^4 z^6\)[/tex]

D. [tex]\(4 m z^6\)[/tex]

Sagot :

GinnyAnswer
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]
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