Respuesta :

value of the expression [tex]\frac{1.6(10^{5})}{0.2(10^{2})}[/tex] or   [tex]1.6(10^{5})[/tex] over [tex]0.2(10^{2})[/tex]  is [tex]8000[/tex] ([tex]8 \times 10 ^3[/tex]).

Step-by-step explanation:

Here we have , to find the value of the expression shown below  1.6 x 10 to the 5th power over 0.2 x 10 to the 2nd power i.e. [tex]1.6(10^{5})[/tex] over [tex]0.2(10^{2})[/tex] :

⇒  [tex]1.6(10^{5})[/tex] over [tex]0.2(10^{2})[/tex]

⇒ [tex]\frac{1.6(10^{5})}{0.2(10^{2})}[/tex]

multiply and divide by 10 to remove decimals, so we get

⇒ [tex]\frac{16(10^{5})}{2(10^{2})}[/tex]

⇒ [tex]\frac{8(2)(10^{5})}{2(10^{2})}[/tex]

⇒ [tex]8\frac{(10^{5})}{(10^{2})}[/tex]

⇒ [tex]8(10^{(5-2)})[/tex]

⇒ [tex]8(10^{3})[/tex]

⇒ [tex]8(1000)[/tex]

⇒ [tex]8000[/tex]

Therefore, value of the expression [tex]\frac{1.6(10^{5})}{0.2(10^{2})}[/tex] or   [tex]1.6(10^{5})[/tex] over [tex]0.2(10^{2})[/tex]  is [tex]8000[/tex] ([tex]8 \times 10 ^3[/tex]).

Answer:

1.6 * 10^5 / 2*10^1 =

160,000 / 20 =

8,000

Step-by-step explanation:

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