To solve the expression \(7.9 \cdot 10^7 + 6.5 \cdot 10^6\), we need to express both terms in scientific notation with the same power of ten.
The term \(6.5 \cdot 10^6\) can be rewritten in terms of \(10^7\):
\[ 6.5 \cdot 10^6 = 0.65 \cdot 10^7 \]
Now we can add the two terms together:
\[ 7.9 \cdot 10^7 + 0.65 \cdot 10^7 = (7.9 + 0.65) \cdot 10^7 \]
Calculating the sum:
\[ 7.9 + 0.65 = 8.55 \]
Thus, we have:
\[ 7.9 \cdot 10^7 + 6.5 \cdot 10^6 = 8.55 \cdot 10^7 \]
Now, to write \(8.55 \cdot 10^7\) in proper scientific notation, we check if the coefficient \(8.55\) is between \(1\) and \(10\), which it is. Therefore, we do not need to adjust it further.
The final answer in scientific notation is:
\[ \boxed{8.55 \cdot 10^7} \]