Math Problem Statement
27 ÷ 3(6 - 4)^2
Solution
The expression given in the image is:
Let's solve it step-by-step using the order of operations (PEMDAS/BODMAS):
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Parentheses: Start with the operation inside the parentheses:
Now, the expression becomes:
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Exponents: Next, deal with the exponent on :
This updates the expression to:
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Multiplication and Division (from left to right):
- First, .
- Then, .
So, the final answer is:
Would you like more details on any part of this solution?
Here are 5 related questions to expand on this:
- What happens if the expression had a different exponent, like ?
- How does the order of operations affect the outcome in complex expressions?
- What if the expression was written as ?
- How do parentheses impact calculations in mathematical expressions?
- How can we simplify expressions with multiple parentheses and exponents?
Tip: Always solve expressions inside parentheses first, then handle exponents before moving on to multiplication and division from left to right.
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Math Problem Analysis
Mathematical Concepts
Order of Operations
Exponents
Multiplication and Division
Formulas
Order of Operations (PEMDAS/BODMAS)
Theorems
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Suitable Grade Level
Grades 6-8