Evaluate: (3.9 X 10^2)(2.3 X 10^6). Express the result in scientific notation.

Answer:
[tex]8.97\times10^8[/tex]Explanation:
Given the expression:
[tex](3.9\times10^2)(2.3\times10^6)[/tex]We can rewrite it as:
[tex]\begin{gathered} 3.9\times10^2\times2.3\times10^6\text{ (Bring the powers of 10 together)} \\ =3.9\times2.3\times10^2\times10^6\text{ (Apply the addition law of indices)} \\ =8.97\times10^{2+6} \\ =8.97\times10^8 \\ \end{gathered}[/tex]Note:
Addition law of indices:
[tex]a^x\times a^y=a^{x+y}[/tex]