Math Problem Statement
how to solve
-3²-5(3)+6
Solution
To solve the expression , follow the order of operations, commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)):
Step 1: Handle the exponentiation
Notice that the negative sign is not part of the exponent, so we first square to get , then apply the negative sign.
Now the expression becomes:
Step 2: Handle the multiplication
So the expression becomes:
Step 3: Perform addition and subtraction from left to right
Final answer:
Would you like further details or clarifications?
Here are 5 related questions to expand your understanding:
- How does the order of operations (PEMDAS) affect solving this type of expression?
- What happens if we change the negative sign in front of the exponent to inside the parentheses?
- How do we handle expressions with more than one exponent?
- What if the problem included division instead of multiplication—how would that change the steps?
- How can we solve expressions with variables in addition to numbers?
Tip: Always remember that the negative sign outside an exponent only applies after performing the exponentiation.
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Math Problem Analysis
Mathematical Concepts
Order of Operations
Exponents
Basic Arithmetic
Negative Numbers
Formulas
PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
Theorems
-
Suitable Grade Level
Grades 6-8
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