Question

Use a calculator to evaluate the expression. Round your answer to two decimal places. $$(3.6)(-2.67)^{3}(-9.41)$$

Short answer

After performing the calculation and rounding to two decimal places, the final result is 644.03.

Step-by-step solution

Identify the operation

The operation in question is (3.6)(-2.67)^{3}(-9.41). It includes multiplication and exponentiation.

Apply exponentiation first

According to BIDMAS rule, perform operations with exponentiation first. So, calculate (-2.67) cubed. Since cube of a negative number is also a negative number, (-2.67)^3 equals -19.089763. Note that you should keep more decimal places at this intermediate step to keep the final answer accurate.

Then, conduct multiplication

Next, again following the BIDMAS rule, perform multiplication. Multiply 3.6, -19.089763, and -9.41. The result of the calculation is 644.026163776

Round the answer

Finally, round your answer to two decimal places. This operation gets a final result of 644.03.