Math Problem Statement
Simplify (-512)^(1/3)
Solution
To simplify , we need to find the cube root of .
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Identify the cube root: The cube root of a number is a value that, when raised to the power of 3, results in .
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Calculate the cube root of -512: because .
Answer: .
Would you like further details or have any questions?
Here are five related questions you might be interested in:
- What is the cube root of a positive number, like ?
- How does taking an even root differ from taking an odd root of a negative number?
- How would you calculate ?
- What are some applications of cube roots in real-world problems?
- How do you simplify other fractional exponents, like ?
Tip: When taking odd roots of negative numbers, the result is also negative, as shown here with .
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Math Problem Analysis
Mathematical Concepts
Exponentiation
Roots
Formulas
a^(1/n) represents the n-th root of a
Theorems
Cube root theorem
Suitable Grade Level
Grades 8-10