Question

simplify.

1. $-x \cdot -3x^4$

Explanation:

Step1: Multiply the coefficients

The coefficients are -1 (from -x) and -3. Multiplying them: $(-1) \times (-3) = 3$

Step2: Multiply the variables

Using the rule of exponents $a^m \cdot a^n = a^{m + n}$, for $x$ (which is $x^1$) and $x^4$: $x^1 \cdot x^4 = x^{1 + 4} = x^5$

Step3: Combine the results

Multiply the coefficient result and the variable result: $3 \times x^5 = 3x^5$

Answer:

$3x^5$