Respuesta :

8.4x10^9/n=5.6 x 10^27
so 8.4x10^9/5.6 x 10^27=n
n=1.5x10^-18

Answer:

[tex]1.5\times 10^{-18}[/tex]

Step-by-step explanation:

We have been given that the quotient of [tex]8.4\times 10^9[/tex] and a number n results in [tex]5.6\times 10^{27}[/tex]

To find the value of n we will write our given information in an equation as:

[tex]\frac{8.4\times 10^9}{n}=5.6\times 10^{27}[/tex]

[tex]\frac{8.4\times 10^9}{5.6\times 10^{27}}=n[/tex]

Using quotient rule of exponents [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] we will get,

[tex]\frac{8.4\times 10^{9-27}}{5.6}=n[/tex]

[tex]\frac{8.4\times 10^{-18}}{5.6}=n[/tex]

[tex]1.5\times 10^{-18}=n[/tex]

Therefore, the value of n is [tex]1.5\times 10^{-18}[/tex].