Evaluate the arithmetic expression

MathematicsOrder of OperationsEasy

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44. $3 \cdot (2 + 5)^2 - 4 \cdot (3^2 - 12)^3 =$

This question includes visual content: There is a logo consisting of a red circle containing a white triangle, decorated with red leafy patterns and a brown mustache underneath, situated to the left of the text. There are also faint handwritten pencil marks below the numbers in the expression.

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Step by Step Written Solution

1
Step 1

Selam Hüseyin, gel bu işlem önceliği sorusunu adım adım birlikte çözelim.

İşlem Önceliği

1. Parantez içi

2. Üslü sayılar

3. Çarpma / Bölme

4. Toplama / Çıkarma

2
Step 2

Soruda verilen ifadeyi tahtaya yazalım.

$$3 · (2 + 5)^2 - 4 · (3^2 - 12)^3$$
3
Step 3

İlk olarak parantez içindeki işlemleri halledelim. Sol taraftaki parantezden başlayalım. İki artı beş, yedi yapar.

4
Step 4

Şimdi sağ taraftaki parantezin içine bakalım. Burada önce üslü ifadeyi yapmalıyız. Üçün karesi dokuzdur.

5
Step 5

Sağdaki parantez içini tamamlayalım. Dokuz eksi on iki, eksi üç eder.

6
Step 6

Şimdi dışarıdaki üslü ifadeleri hesaplayalım. Yedinin karesi kırk dokuzdur.

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About This Question

Subject
Mathematics
Topic
Order of Operations
Difficulty
Easy
Question Type
Open Ended

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