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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

Sagot :

Answer:

D. 2.048 x 10¹³​

Explanation:

Given the expression:

[tex]\mleft(6.4\times10^9\mright)(3.2\times10^3)[/tex]

We can rewrite the expression as:

[tex]=6.4\times10^9\times3.2\times10^3[/tex]

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

[tex]\begin{gathered} =6.4\times3.2\times10^3\times10^9 \\ =20.48\times10^{3+9} \\ =2.048\times10^1\times10^{12} \\ =2.048\times10^{1+12} \\ =2.048\times10^{13} \end{gathered}[/tex]

The correct choice is D.