Simplify the complex fraction. \( \frac{25 a^{4} b^{3}}{7 a} \) \( \frac{5 a b^{4}}{b^{2}} \)

Simplify the expression by following steps: - step0: Solution: \(\frac{5ab^{4}}{b^{2}}\) - step1: Reduce the fraction: \(\frac{5ab^{4-2}}{1}\) - step2: Simplify: \(5ab^{4-2}\) - step3: Divide the terms: \(5ab^{2}\) Calculate or simplify the expression \( (25 * a^4 * b^3) / (7 * a) \). Simplify the expression by following steps: - step0: Solution: \(\frac{25a^{4}b^{3}}{7a}\) - step1: Reduce the fraction: \(\frac{25a^{4-1}b^{3}}{7}\) - step2: Reduce the fraction: \(\frac{25a^{3}b^{3}}{7}\) Let's simplify the given complex fractions step by step. 1. **First Fraction:** \[ \frac{25 a^{4} b^{3}}{7 a} \] - We can simplify this by dividing the numerator and the denominator by \(a\): \[ = \frac{25 a^{4-1} b^{3}}{7} = \frac{25 a^{3} b^{3}}{7} \] 2. **Second Fraction:** \[ \frac{5 a b^{4}}{b^{2}} \] - We can simplify this by dividing the numerator and the denominator by \(b^{2}\): \[ = 5 a b^{4-2} = 5 a b^{2} \] Thus, the simplified forms of the fractions are: - First Fraction: \(\frac{25 a^{3} b^{3}}{7}\) - Second Fraction: \(5 a b^{2}\)