To add the two numbers \( 5.3 \times 10^4 \) and \( 14.5 \times 10^5 \), we need to express them with the same power of ten.
First, convert \( 5.3 \times 10^4 \) to a power of \( 10^5 \):
\[ 5.3 \times 10^4 = 0.053 \times 10^5 \]
Now we can add the two numbers:
\[ 0.053 \times 10^5 + 14.5 \times 10^5 = (0.053 + 14.5) \times 10^5 \]
Calculating the sum inside the parentheses:
\[ 0.053 + 14.5 = 14.553 \]
So, we have:
\[ 14.553 \times 10^5 \]
If we want to express this in standard scientific notation, it’s already in the correct form.
Thus, the final result is:
\[ \boxed{14.553 \times 10^5} \]
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