A scientist measures the volume of a substance and finds it to becubic centimeters. If the volume is represented as, whereis the volume, what is the value of? The result is.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the concept of cube roots of negative numbers in a real-world context. The key is to recognize that the cube root of a negative number raised to an odd power results in a negative value.
Key Concept Explanation
The key property used here is that for any real number and odd integer , . This allows us to simplify the expression and find the value.
Step-by-step Solution
1. Identify the base and the exponent:
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