Subjects algebra

Simplify Fraction 5Fcb7C

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1. **State the problem:** Simplify the expression $$\frac{20m^2 n^2 p}{4 m n p}$$. 2. **Recall the rules:** When dividing terms with the same base, subtract the exponents: $$\frac{a^x}{a^y} = a^{x-y}$$. 3. **Simplify the coefficients:** $$\frac{20}{4} = \cancel{\frac{20}{4}} = 5$$. 4. **Simplify the variables:** - For $$m$$: $$\frac{m^2}{m} = m^{2-1} = m$$. - For $$n$$: $$\frac{n^2}{n} = n^{2-1} = n$$. - For $$p$$: $$\frac{p}{p} = p^{1-1} = p^0 = 1$$. 5. **Combine all simplified parts:** $$5 \times m \times n \times 1 = 5mn$$. **Final answer:** $$5mn$$