Question

3(2² + 6) · (2 + 2³)

Q: Over the next two weeks, the archeology team digs down an addition 2³ Simplify the expression 3(2² + 6) · (2 + 2³) to find the volume of the dirt removed from the plot after 3 weeks.

Please help me! Ty

Answer 1

To find the volume of the dirt removed from the plot after 3 weeks, we first need to simplify the expression 3(2² + 6) · (2 + 2³) and then add the additional 2³ to the result.

Using the order of operations (PEMDAS), we start by evaluating the parentheses first:

3(2² + 6) · (2 + 2³) = 3(4 + 6) · (2 + 8)

Next, we simplify the terms inside the parentheses:

3(10) · (10)

Then, we multiply the numbers outside the parentheses:

300 · 10

Finally, we add the additional 2³ (which is 8) to the result:

3000 + 8 = 3008

Therefore, the volume of the dirt removed from the plot after 3 weeks is 3008 cubic units.