Question
upstudy study bank question image url

Simplify: \( (-4) 2-32 \div(12-4) \)

Ask by Medina Ball. in the United States
Mar 08,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The simplified result is \( -12 \).

Solution

1. Evaluate the expression inside the parentheses: \[ 12 - 4 = 8 \] 2. Rewrite the expression using the simplified parentheses: \[ (-4) \times 2 - \frac{32}{8} \] 3. Perform the multiplication: \[ (-4) \times 2 = -8 \] 4. Perform the division: \[ \frac{32}{8} = 4 \] 5. Substitute the simplified numbers back into the expression: \[ -8 - 4 = -12 \] The simplified result is \( -12 \).

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Mind Expander

To simplify the expression \( (-4) 2 - 32 \div (12 - 4) \), let's break it down step by step. 1. First, calculate the expression inside the parentheses: \[ 12 - 4 = 8 \] 2. Now, substitute that back into the expression: \[ (-4) 2 - 32 \div 8 \] 3. Next, perform the division: \[ 32 \div 8 = 4 \] 4. Now, substitute the division result back into the expression: \[ (-4) 2 - 4 \] 5. Next, perform the multiplication: \[ (-4) 2 = -8 \] 6. Now, substitute this result back: \[ -8 - 4 \] 7. Finally, perform the subtraction: \[ -8 - 4 = -12 \] So, the simplified expression is: \[ \boxed{-12} \]

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy