the population of the city is given as 3.45×10 to the power of six a nearby city has a population of 1.3×10 to the power of five what is the sum of the populations of the two cities in scientific notation?

To find the sum of the populations of the two cities in scientific notation, we first express both numbers in standard form:

1. The population of the first city is \( 3.45 \times 10^6 \).
2. The population of the second city is \( 1.3 \times 10^5 \).

Since \( 10^6 \) is much larger than \( 10^5 \), we need to express the second population in terms of \( 10^6 \):

\[ 1.3 \times 10^5 = 0.13 \times 10^6 \]

Now, we can add the two populations:

\[ 3.45 \times 10^6 + 0.13 \times 10^6 = (3.45 + 0.13) \times 10^6 = 3.58 \times 10^6 \]

Thus, the sum of the populations of the two cities in scientific notation is:

\[ \boxed{3.58 \times 10^6} \]