Math Problem Statement

how to solve

-3²-5(3)+6

Solution

To solve the expression 325(3)+6-3^2 - 5(3) + 6, 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

32=(32)=9-3^2 = -(3^2) = -9 Notice that the negative sign is not part of the exponent, so we first square 33 to get 99, then apply the negative sign.

Now the expression becomes: 95(3)+6-9 - 5(3) + 6

Step 2: Handle the multiplication

5(3)=155(3) = 15 So the expression becomes: 915+6-9 - 15 + 6

Step 3: Perform addition and subtraction from left to right

915=24-9 - 15 = -24 24+6=18-24 + 6 = -18

Final answer:

325(3)+6=18-3^2 - 5(3) + 6 = -18

Would you like further details or clarifications?


Here are 5 related questions to expand your understanding:

  1. How does the order of operations (PEMDAS) affect solving this type of expression?
  2. What happens if we change the negative sign in front of the exponent to inside the parentheses?
  3. How do we handle expressions with more than one exponent?
  4. What if the problem included division instead of multiplication—how would that change the steps?
  5. 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.

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
Negative Numbers

Formulas

PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

Theorems

-

Suitable Grade Level

Grades 6-8