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Evaluate the following expression.

6*2+6^(4)=

Evaluate the following expression. $\newline$ $6 \cdot 2+6^{4}=$

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Powers with negative bases

Full solution

Q. Evaluate the following expression.

\newline

6 \cdot 2+6^{4}=

Evaluate multiplication: Evaluate the multiplication part of the expression. $\newline$ The expression is $6 \times 2 + 6^4$ . According to the order of operations (PEMDAS/BODMAS), we should first perform multiplication before addition. $\newline$ So, we calculate $6 \times 2$ . $\newline$ $6 \times 2 = 12$
Evaluate exponentiation: Evaluate the exponentiation part of the expression. $\newline$ Next, we calculate $6^4$ , which means $6$ multiplied by itself $4$ times. $\newline$ $6^4 = 6 \times 6 \times 6 \times 6$ $\newline$ $6^4 = 1296$
Add results: Add the results of Step $1$ and Step $2$ . $\newline$ Now we add the results from the multiplication and the exponentiation. $\newline$ $12$ (from Step $1$ ) + $1296$ (from Step $2$ ) $\newline$ $12 + 1296 = 1308$

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