Question

question
fully simplify.
$3x^{2}(4x^{2}y^{4})$

Explanation:

Step1: Multiply coefficients

Multiply the numerical coefficients \( 3 \) and \( 4 \).
\( 3\times4 = 12 \)

Step2: Multiply \( x \)-terms

Use the rule of exponents \( a^m \cdot a^n = a^{m + n} \) for \( x^2 \) and \( x^2 \).
\( x^2 \cdot x^2 = x^{2 + 2}=x^4 \)

Step3: Combine all terms

The \( y^4 \) term remains as it is. Combine the results from Step 1, Step 2, and the \( y^4 \) term.
\( 12\times x^4\times y^4 = 12x^4y^4 \)

Answer:

\( 12x^4y^4 \)