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Sagot :
To check which options are correct, we can write out all the options in standard form.
OPTION 1:
[tex]40^6=4096\times10^6[/tex]This option is NOT correct.
OPTION 2:
[tex]\frac{1.2\times10^9}{3\times10^2}[/tex]Applying the laws of indices, we have
[tex]\begin{gathered} \frac{1.2}{3}\times10^{9-2} \\ =0.4\times10^7 \\ =0.4\times10\times10^6^{} \\ =4\times10^6 \end{gathered}[/tex]This option is CORRECT.
OPTION 3:
[tex]400000=4\times10^5[/tex]This option is NOT correct.
OPTION 4:
[tex](2\times10^8)(2\times10^{-2})[/tex]Applying the laws of indices, we have
[tex]\begin{gathered} 2\times2\times10^{8+(-2)} \\ =4\times10^6 \end{gathered}[/tex]This option is CORRECT.
OPTION 5:
[tex]\begin{gathered} 40\times10^5 \\ =4\times10\times10^5 \\ =4\times10^6 \end{gathered}[/tex]This option is CORRECT.
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