Question: 10. 26x^5y^10z^3 / 2xy^3z^2
1. **State the problem:** Simplify the expression $$\frac{26x^5y^{10}z^3}{2xy^3z^2}$$.
2. **Write the formula and rules:** When dividing terms with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$.
3. **Simplify coefficients:** $$\frac{26}{2} = \cancel{13}$$.
4. **Simplify variables:**
- For $x$: $$\frac{x^5}{x^1} = x^{5-1} = x^4$$
- For $y$: $$\frac{y^{10}}{y^3} = y^{10-3} = y^7$$
- For $z$: $$\frac{z^3}{z^2} = z^{3-2} = z^1 = z$$
5. **Combine all simplified parts:** $$13x^4y^7z$$
6. **Final answer:** $$13x^4y^7z$$