Question
Simplify the given expression. \[ (20 \div 5 \times 5)^{2} \]
Ask by Dickson Johnston. in the United States
Jan 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified result is 400.
Solution
To simplify the expression \[ (20 \div 5 \times 5)^{2} \], follow these steps:
1. **Evaluate inside the parentheses first**, adhering to the order of operations (PEMDAS/BODMAS), which dictates that multiplication and division are performed from left to right.
\[
20 \div 5 \times 5
\]
- **Step 1:** \( 20 \div 5 = 4 \)
- **Step 2:** \( 4 \times 5 = 20 \)
So, the expression inside the parentheses simplifies to \( 20 \).
2. **Raise the result to the power of 2**:
\[
20^{2} = 20 \times 20 = 400
\]
**Final Answer:** \( 400 \)
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Simplify this solution Mind Expander
To simplify the expression \((20 \div 5 \times 5)^{2}\), we first resolve the operation inside the parentheses. 1. Start with the division: \[ 20 \div 5 = 4 \] 2. Now, multiply that result by 5: \[ 4 \times 5 = 20 \] 3. Now we have: \[ (20)^{2} \] 4. Finally, compute the square: \[ 20^{2} = 400 \] Thus, the simplified expression is \(400\).
