Math Problem Statement
Evaluate (−4)6·(−3)2 . Write your answer as an integer.
Solution
To evaluate the expression , we can follow these steps:
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Evaluate : Since multiplying an even number of negative factors results in a positive number:
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Evaluate : Multiplying two negative factors gives a positive result:
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Multiply the results:
So, the final answer is .
Would you like any details or have any questions? Here are some related questions:
- How do you evaluate powers of negative numbers in general?
- What is the result of ?
- How does the sign of the base affect the result when raised to an odd power?
- Can you explain why and are different?
- What happens when you raise a negative number to a fractional exponent?
Tip: When raising a negative number to a power, remember that an even exponent results in a positive value, while an odd exponent results in a negative value.
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Math Problem Analysis
Mathematical Concepts
Exponents
Negative numbers
Multiplication of powers
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9