Question

simplify.
$(-2x^{2}yz)^{2}(-3x^{3})^{4}$

Explanation:

Step1: Simplify first term via exponent rules

$(-2x^2yz)^2 = (-2)^2 \cdot (x^2)^2 \cdot y^2 \cdot z^2 = 4x^4y^2z^2$

Step2: Simplify second term via exponent rules

$(-3x^3)^4 = (-3)^4 \cdot (x^3)^4 = 81x^{12}$

Step3: Multiply the two simplified terms

$4x^4y^2z^2 \cdot 81x^{12} = (4 \times 81) \cdot (x^4 \cdot x^{12}) \cdot y^2 \cdot z^2$

Step4: Compute coefficients and combine x terms

$324x^{4+12}y^2z^2 = 324x^{16}y^2z^2$

Answer:

$324x^{16}y^2z^2$