Math Problem Statement
Evaluate the expression. (−6)3
Solution
To evaluate the expression , we need to cube the number .
This means:
Now, calculate step by step:
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Multiply the first two terms:
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Then, multiply that result by the third :
Therefore, the value of is .
Would you like further explanation on how to handle powers or any related concept? Let me know if you need more details!
Here are some related questions you might find interesting:
- What is the value of ?
- How do negative exponents affect an expression?
- What happens if you cube a positive number like 6?
- How does the cube root of 216 relate to this problem?
- What is the general rule for evaluating negative numbers raised to powers?
Tip: When working with odd powers of negative numbers, the result will always be negative, while even powers of negative numbers will result in positive values.
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Math Problem Analysis
Mathematical Concepts
Exponents
Multiplication of Negative Numbers
Formulas
a^3 = a × a × a
Theorems
Exponentiation with negative numbers
Multiplication of negative numbers
Suitable Grade Level
Grades 6-8