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c. \( \left[18+3^{3} \cdot(91: 7)\right]+6^{2}-1^{10}= \)

Ask by Little Daniels. in Turkey
Nov 23,2024

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Answer

Sonuç: 404

Solution

Verilen ifadeyi adım adım çözelim: 1. Öncelikle parantez içindeki işlemi yapalım: \( 91 : 7 = 13 \). 2. Şimdi ifadeyi güncelleyelim: \( 18 + 3^{3} \cdot 13 \). 3. \( 3^{3} = 27 \) olduğuna göre, ifadeyi tekrar güncelleyelim: \( 18 + 27 \cdot 13 \). 4. Şimdi çarpma işlemini yapalım: \( 27 \cdot 13 = 351 \). 5. İfadeyi güncelleyelim: \( 18 + 351 = 369 \). 6. Şimdi \( 6^{2} \) işlemini yapalım: \( 6^{2} = 36 \). 7. İfadeyi güncelleyelim: \( 369 + 36 - 1^{10} \). 8. \( 1^{10} = 1 \) olduğuna göre, ifadeyi güncelleyelim: \( 369 + 36 - 1 = 404 \). Sonuç: \( 404 \)

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The Deep Dive

Let's simplify the expression step by step. First, we calculate \(3^3\), which is \(27\). Next, we perform the division \(91:7\) which equals \(13\). So now we have: \[ 18 + 27 \cdot 13 \] Now multiplying \(27\) by \(13\) gives us \(351\). Adding \(18\) to \(351\) results in: \[ 369 \] Next, we calculate \(6^2\), which is \(36\), and \(1^{10}\), which is \(1\). Now we combine everything we've calculated: \[ 369 + 36 - 1 \] Adding \(369\) and \(36\) gives us \(405\), and subtracting \(1\) results in: \[ 404 \] So, the final answer is: \[ \boxed{404} \]

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