Respuesta :

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]