Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.
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Answer:
The option is first one that is
![\frac{m^{7}n^{3}n}{m}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%5E%7B7%7Dn%5E%7B3%7Dn%7D%7Bm%7D)
Step-by-step explanation:
Given:
![\frac{m^{7}n^{3}}{mn^{-1} },m\neq 0,n\neq 0](https://tex.z-dn.net/?f=%5Cfrac%7Bm%5E%7B7%7Dn%5E%7B3%7D%7D%7Bmn%5E%7B-1%7D%20%7D%2Cm%5Cneq%200%2Cn%5Cneq%200)
After negative exponent eliminated we get
![\frac{m^{7}n^{3}n}{m}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%5E%7B7%7Dn%5E%7B3%7Dn%7D%7Bm%7D)
Negative exponent :
The variable containing negative powers. Here the variable( n⁻¹) is negative exponent.
Law of indices
![a^{-1} = \frac{1}{a}\\\\Here\\n^{-1} = \frac{1}{n}\\\\](https://tex.z-dn.net/?f=a%5E%7B-1%7D%20%3D%20%5Cfrac%7B1%7D%7Ba%7D%5C%5C%5C%5CHere%5C%5Cn%5E%7B-1%7D%20%3D%20%5Cfrac%7B1%7D%7Bn%7D%5C%5C%5C%5C)
![\\\textrm{Using law of indices we get}\\\frac{m^{7}n^{3}}{mn^{-1} }=\frac{m^{7}n^{3}}{m\frac{1}{n} } }\\\\ \frac{m^{7}n^{3}}{mn^{-1} }=\frac{m^{7}n^{3}n}{m}](https://tex.z-dn.net/?f=%5C%5C%5Ctextrm%7BUsing%20law%20of%20indices%20we%20get%7D%5C%5C%5Cfrac%7Bm%5E%7B7%7Dn%5E%7B3%7D%7D%7Bmn%5E%7B-1%7D%20%7D%3D%5Cfrac%7Bm%5E%7B7%7Dn%5E%7B3%7D%7D%7Bm%5Cfrac%7B1%7D%7Bn%7D%20%7D%20%7D%5C%5C%5C%5C%20%5Cfrac%7Bm%5E%7B7%7Dn%5E%7B3%7D%7D%7Bmn%5E%7B-1%7D%20%7D%3D%5Cfrac%7Bm%5E%7B7%7Dn%5E%7B3%7Dn%7D%7Bm%7D)