Question

What is the answer in scientific notation? (6.4 x 10⁹) (3.2 x 10³) A. 2.048 x 10¹² B. 2.048 x 10²⁷ C. 2.0 x 10⁶ D. 2.048 x 10¹³

Answer 1

D. 2.048 x 10¹³​

Step-by-step explanation:

Given the expression:

`\mleft(6.4*10^9\mright)(3.2*10^3)`

We can rewrite the expression as:

`=6.4*10^9*3.2*10^3`

Next, we rearrange by bringing the powers of 10 together.

`\begin{gathered} =6.4*3.2*10^3*10^9 \\ =20.48*10^(3+9) \\ =2.048*10^1*10^(12) \\ =2.048*10^(1+12) \\ =2.048*10^(13) \end{gathered}`

The correct choice is D.