Math Problem Statement
Evaluate the exponential expression: 6 * (4 + 2)^2 - 3^2.
Solution
The problem asks you to evaluate the exponential expression:
Let's solve this step by step:
Step 1: Simplify the parentheses
So the expression becomes:
Step 2: Calculate the exponents
Substitute these values into the expression:
Step 3: Perform multiplication
Now the expression is:
Step 4: Perform subtraction
Final Answer:
The value of the expression is:
Would you like more details on any part of the solution?
Related Questions:
- What is the importance of the order of operations in evaluating expressions?
- How does squaring a number affect its magnitude compared to the base?
- Can this problem be solved using different grouping methods? Why or why not?
- What happens if parentheses are missing in similar expressions?
- How can we double-check solutions to similar mathematical expressions?
Tip:
Always handle exponents before multiplication and subtraction when solving such problems to avoid errors.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Order of Operations
Exponents
Basic Arithmetic
Formulas
Order of Operations (PEMDAS/BODMAS)
Exponentiation rules
Theorems
-
Suitable Grade Level
Grades 6-8