bb2130
bb2130 bb2130
  • 19-11-2020
  • Mathematics
contestada

2.3×10⁹=(1×10³)(2.3×10^n)​

Respuesta :

xenia168
xenia168 xenia168
  • 19-11-2020

Answer:

n = 6

Step-by-step explanation:

2.3 × [tex]10^{9}[/tex] = (1 × 10³)(2.3 × [tex]10^{n}[/tex] )

(1 × 10³)(2.3 × [tex]10^{n}[/tex] ) = (1)(2.3) × (10³)( [tex]10^{n}[/tex] ) = 2.3 × [tex]10^{3+n}[/tex]

2.3 × [tex]10^{3+n}[/tex] = 2.3 × [tex]10^{9}[/tex] ⇒ 3 + n = 9 ⇒ n = 6

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