Math Problem Statement
-3⁰-3²-2(-2-3)
Solution
Let's solve the expression step by step.
The given expression is:
Step 1: Evaluate the exponents
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:
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:
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: -2^0 = -1 \quad \text{(similar to -3^0)}
Step 2: Simplify inside the brackets
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Evaluate the expression inside the parentheses :
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Multiply by :
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Combine the results:
Step 3: Combine everything
Now, the expression is simplified to:
Step 4: Final multiplication
Multiply these values together:
So, the final result is:
Would you like more details or have any questions?
Here are five related questions to expand your understanding:
- How does the order of operations affect the result in this expression?
- Why do negative exponents have different rules compared to positive exponents?
- How would the expression change if the powers were even numbers?
- What happens if the base of an exponent is a fraction?
- How can understanding negative and zero exponents help in solving algebraic equations?
Tip: Always pay attention to the order of operations (PEMDAS/BODMAS) when solving complex expressions.
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Math Problem Analysis
Mathematical Concepts
Exponents
Order of Operations
Negative Numbers
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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