Question

(2×4 + 1)³ - 6 ÷ 2

Explanation:

Step1: Calculate inside the parentheses

First, calculate the expression inside the parentheses: \(2\times4 + 1\).
\(2\times4 = 8\), then \(8 + 1 = 9\).

Step2: Calculate the exponentiation

Next, raise the result from the parentheses to the power of 3: \(9^{3}\).
\(9^{3}=9\times9\times9 = 729\).

Step3: Calculate the division

Then, calculate the division: \(6\div2 = 3\).

Step4: Subtract the results

Finally, subtract the result of the division from the result of the exponentiation: \(729 - 3\).
\(729-3 = 726\).

Answer:

\(726\)