1. **State the problem:** Simplify the expression $$h^3 \times c^3 \times h c^4$$ and write the answer with only positive exponents.
2. **Recall the exponent rules:**
- When multiplying powers with the same base, add the exponents: $$a^m \times a^n = a^{m+n}$$
- Keep all exponents positive.
3. **Rewrite the expression grouping like bases:**
$$h^3 \times h^1 \times c^3 \times c^4$$
4. **Add the exponents for each base:**
$$h^{3+1} \times c^{3+4} = h^4 \times c^7$$
5. **Final simplified expression:**
$$h^4 c^7$$
This is the simplified form with only positive exponents.
Exponent Simplification B49073
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.