Subjects algebra

Exponent Simplification B49073

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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.