Question
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Tutor-Verified Answer
Answer
The value of the expression is 27.
Solution
To solve the expression [(4 + 2 × 2) − 5]³, follow these steps:
1. Evaluate inside the parentheses:
- First, perform the multiplication: 2 × 2 = 4.
- Then add: 4 + 4 = 8.
- Next, subtract: 8 − 5 = 3.
2. Finally, raise the result to the power of 3:
- 3³ = 3 × 3 × 3 = 27.
So, the value of the expression is 27.
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The Deep Dive
Let's break it down step-by-step! First, we solve the expression inside the brackets: 1. Multiply: \( 2 \times 2 = 4 \) 2. Add: \( 4 + 4 = 8 \) 3. Subtract: \( 8 - 5 = 3 \) Now, we have \( [3]^3 \). 4. Finally, calculate \( 3^3 = 27 \). So the final value of the expression \( [(4+2 \times 2)-5]^{3} \) is **27**!