Question

(6³ - 6)·(2³ + 8) ÷ 2

Explanation:

Step1: Calculate inside the first parentheses

First, calculate \(6^{3}-6\). \(6^{3}=6\times6\times6 = 216\), so \(6^{3}-6=216 - 6=210\).

Step2: Calculate inside the second parentheses

Next, calculate \(2^{3}+8\). \(2^{3}=2\times2\times2 = 8\), so \(2^{3}+8=8 + 8=16\).

Step3: Multiply the results of the two parentheses

Now, multiply the two results: \(210\times16 = 3360\).

Step4: Divide by 2

Finally, divide the product by 2: \(3360\div2 = 1680\).

Answer:

1680