5. \( \frac{1}{3} \times \frac{22}{7} \times\left(\frac{3.5}{2}\right)^{8} \times 12 \)

Calculate or simplify the expression \( \frac{1}{3} \times \frac{22}{7} \times\left(\frac{3.5}{2}\right)^{8} \times 12 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{3}\times \frac{22}{7}\left(\frac{3.5}{2}\right)^{8}\times 12\) - step1: Divide the terms: \(\frac{1}{3}\times \frac{22}{7}\left(\frac{7}{4}\right)^{8}\times 12\) - step2: Multiply the terms: \(\frac{88}{7}\left(\frac{7}{4}\right)^{8}\) - step3: Evaluate the power: \(\frac{88}{7}\times \frac{7^{8}}{4^{8}}\) - step4: Rewrite the expression: \(\frac{8\times 11}{7}\times \frac{7^{8}}{4^{8}}\) - step5: Rewrite the expression: \(\frac{2^{3}\times 11}{7}\times \frac{7^{8}}{2^{16}}\) - step6: Reduce the numbers: \(11\times \frac{7^{7}}{2^{13}}\) - step7: Multiply: \(\frac{11\times 7^{7}}{2^{13}}\) - step8: Evaluate the power: \(\frac{11\times 7^{7}}{8192}\) The result of the expression \( \frac{1}{3} \times \frac{22}{7} \times\left(\frac{3.5}{2}\right)^{8} \times 12 \) is approximately 1105.831665.