Question

1. $-2x^{4} cdot -4x^{2}$

Explanation:

Step1: Multiply the coefficients

Multiply -2 and -4. $$(-2)\times(-4) = 8$$

Step2: Multiply the variables

Use the rule of exponents \(a^m \cdot a^n = a^{m + n}\) for \(x^4 \cdot x^2\). $$x^4 \cdot x^2 = x^{4 + 2}=x^6$$

Step3: Combine the results

Multiply the coefficient result and the variable result. $$8\times x^6 = 8x^6$$

Answer:

\(8x^6\)