BelkisT47077 BelkisT47077
  • 29-10-2022
  • Mathematics
contestada

Evaluate (3.0 x 10^-5)(2.0 x 10^9)

Respuesta :

LeahY541738 LeahY541738
  • 29-10-2022

We are to evaluate

[tex](3.0x10^{-5\text{ }})(2.0x10^9)[/tex]

Removing the brackets, we have

[tex]3.0x2.0x10^{-5\text{ }}x10^9[/tex]

=

[tex]=6x10^{-5\text{ }}x10^9[/tex]

Applying the laws of indices

[tex]10^{a\text{ }}x10^b=10^{a+b}[/tex][tex]\begin{gathered} =6x10^{-5\text{ }}x10^9=6x10^{-5+9} \\ =6x10^4 \end{gathered}[/tex]

The answer is 6 x 10^4 or 60000

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