Вычисли: \( \frac{4^{4} \cdot 49^{-7}}{7^{-15} \cdot 16^{3}} \)

Calculate or simplify the expression \( 4^4 \cdot 49^{-7} / (7^{-15} \cdot 16^3) \). Calculate the value by following steps: - step0: Calculate: \(\frac{4^{4}\times 49^{-7}}{\left(7^{-15}\times 16^{3}\right)}\) - step1: Remove the parentheses: \(\frac{4^{4}\times 49^{-7}}{7^{-15}\times 16^{3}}\) - step2: Factor the expression: \(\frac{4^{4}\times 49^{-7}}{7^{-15}\times 4^{6}}\) - step3: Reduce the fraction: \(\frac{49^{-7}}{7^{-15}\times 4^{2}}\) - step4: Factor the expression: \(\frac{7^{-14}}{7^{-15}\times 4^{2}}\) - step5: Reduce the fraction: \(\frac{7}{4^{2}}\) - step6: Evaluate the power: \(\frac{7}{16}\) Результат вычисления выражения \( \frac{4^{4} \cdot 49^{-7}}{7^{-15} \cdot 16^{3}} \) равен \( \frac{7}{16} \) или \( 0.4375 \).