Algebra Practice Test

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What is the value of (-3)³?

9
-9
-27
27

The correct answer is: -27

To find the value of (-3)³, you need to understand that raising a number to the third power means multiplying that number by itself two more times. In this case, you are multiplying -3 by itself three times: (-3) × (-3) × (-3). First, calculate the product of the first two numbers: (-3) × (-3) = 9. This is because multiplying two negative numbers results in a positive number. Next, take this result and multiply it by the last -3: 9 × (-3) = -27. Thus, the final result of (-3)³ is -27. The calculation shows that when you cube a negative number, the result is negative, confirming that the correct answer is -27.