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# Help!

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If $a * b = a^b + b^a$, for all positive integer values of $a$ and $b$, then what is the value of $2 * 6$?

Jul 6, 2018

#1
+21978
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If $a * b = a^b + b^a$, for all positive integer values of $a$ and $b$,
then what is the value of $2 * 6$?

$$\begin{array}{|rcll|} \hline a * b& =& a^b + b^a \quad & | \quad a = 2 \text{ and } b= 6 \\ a * b & =& 2^6 + 6^2 \\ a * b & =& 64+36 \\ \mathbf{a * b} & \mathbf{=}& \mathbf{100} \\ \hline \end{array}$$

Jul 9, 2018