Question: Simplify. Express
(7s^4tu)(7st^8u)
1. **State the problem:** Simplify the expression $$(7s^4tu)(7st^8u)$$.
2. **Write the formula and rules:** When multiplying expressions with the same base, add the exponents: $$a^m \times a^n = a^{m+n}$$.
3. **Multiply the coefficients:** $$7 \times 7 = 49$$.
4. **Multiply the variables:**
- For $s$: $$s^4 \times s^1 = s^{4+1} = s^5$$
- For $t$: $$t^1 \times t^8 = t^{1+8} = t^9$$
- For $u$: $$u^1 \times u^1 = u^{1+1} = u^2$$
5. **Combine all parts:**
$$49 s^5 t^9 u^2$$
6. **Final answer:**
The simplified expression is $$\boxed{49 s^5 t^9 u^2}$$.