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Evaluate the following expression. Express your answer in scientific notation.

[tex]\[ 5.78 \times 10^5 + 1.69 \times 10^5 \][/tex]

Answer :

We start with the two numbers in scientific notation:

[tex]$$
5.78 \times 10^5 \quad \text{and} \quad 1.69 \times 10^5.
$$[/tex]

Since the powers of 10 are the same, we can add the coefficients directly:

[tex]$$
5.78 + 1.69 = 7.47.
$$[/tex]

Therefore, the sum is:

[tex]$$
7.47 \times 10^5.
$$[/tex]

Thus, the answer in scientific notation is [tex]$$7.47 \times 10^5.$$[/tex]

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