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Evaluate the following expression.

6*2+6^(4)=

Evaluate the following expression.\newline62+64= 6 \cdot 2+6^{4}=

Full solution

Q. Evaluate the following expression.\newline62+64= 6 \cdot 2+6^{4}=
  1. Evaluate multiplication: Evaluate the multiplication part of the expression.\newlineThe expression is 6×2+646 \times 2 + 6^4. According to the order of operations (PEMDAS/BODMAS), we should first perform multiplication before addition.\newlineSo, we calculate 6×26 \times 2.\newline6×2=126 \times 2 = 12
  2. Evaluate exponentiation: Evaluate the exponentiation part of the expression.\newlineNext, we calculate 646^4, which means 66 multiplied by itself 44 times.\newline64=6×6×6×66^4 = 6 \times 6 \times 6 \times 6\newline64=12966^4 = 1296
  3. Add results: Add the results of Step 11 and Step 22.\newlineNow we add the results from the multiplication and the exponentiation.\newline1212 (from Step 11) + 12961296 (from Step 22)\newline12+1296=130812 + 1296 = 1308

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