Math Problem Statement
What is the result of the mathematical expression 5 + 3(4 + 2)^2?
Solution
The expression shown in the image is:
Let's solve this step-by-step following the order of operations (PEMDAS/BODMAS):
- Parentheses: First, solve the expression inside the parentheses.
- Exponents: Next, apply the exponent.
- Multiplication: Then, perform the multiplication.
- Addition: Finally, add the remaining numbers.
So, the result of the expression is 113.
Would you like more details or have any questions?
Here are 5 related questions you might find interesting:
- How does the order of operations affect the result of mathematical expressions?
- What would the result be if the expression had a different exponent, such as ?
- How would the result change if there were additional parentheses, like ?
- What are some common mistakes people make when solving expressions with exponents and parentheses?
- Can you solve expressions involving both negative and positive numbers using the order of operations?
Tip: Always follow the order of operations to avoid mistakes in complex mathematical expressions!
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Math Problem Analysis
Mathematical Concepts
Order of Operations
Exponents
Parentheses
Formulas
PEMDAS/BODMAS
Theorems
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Suitable Grade Level
Grades 6-8