Question

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

Answer 1

`8.97*10^8`

Step-by-step explanation:

Given the expression:

`(3.9*10^2)(2.3*10^6)`

We can rewrite it as:

`\begin{gathered} 3.9*10^2*2.3*10^6\text{ (Bring the powers of 10 together)} \\ =3.9*2.3*10^2*10^6\text{ (Apply the addition law of indices)} \\ =8.97*10^(2+6) \\ =8.97*10^8 \\ \end{gathered}`

Note:

Addition law of indices:

`a^x* a^y=a^(x+y)`