Question: User: (3y² × (yz)³ =
1. **State the problem:** Simplify the expression $$3y^2 \times (yz)^3$$.
2. **Recall the exponent rules:** When raising a product to a power, apply the exponent to each factor: $$(ab)^n = a^n b^n$$.
3. **Apply the rule:**
$$ (yz)^3 = y^3 z^3 $$
4. **Rewrite the expression:**
$$ 3y^2 \times y^3 z^3 $$
5. **Combine like terms:**
Since the bases are the same for $y$, add the exponents:
$$ y^2 \times y^3 = y^{2+3} = y^5 $$
6. **Final simplified expression:**
$$ 3 y^5 z^3 $$
Thus, the simplified form of the expression is $$3 y^5 z^3$$.