2. $$ x^{3} \cdot\left(-3 x^{4}\right) x^{-2} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$ x^{3} \cdot\left(-3 x^{4}\right) \cdot x^{-2} $$

**Step 1: Multiply the coefficients.**

The coefficients are $$1$$, $$-3$$, and $$1$$:
$$ 1 \times (-3) \times 1 = -3 $$

**Step 2: Add the exponents of $$x$$.**

Using the rule $$x^a \cdot x^b = x^{a+b}$$:
$$ x^{3} \cdot x^{4} \cdot x^{-2} = x^{3+4-2} = x^{5} $$

**Combine the results:**
$$ -3x^{5} $$

**Final Answer:**
$$ -3x^{5} $$
The simplified expression is $$ -3x^{5} $$.

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