# Which expression can be simplified as 1/18n? (n2)9. (n^-9)-2. (n^-6)-3. (n^-6)-3. (n-3)^6

1 answer

###### Question:

Which expression can be simplified as 1/18n? (n2)9. (n^-9)-2. (n^-6)-3. (n^-6)-3. (n-3)^6

## Answers

Answer:[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]Step-by-step explanation:Given[tex]\frac{1}{n^{18}}[/tex]RequiredDetermine its equivalent[tex]\frac{1}{n^{18}}[/tex]Express 18 as 3 * 6[tex]\frac{1}{n^{18}} = \frac{1}{(n^{3})^6}[/tex]This can be rewritten as:[tex]\frac{1}{n^{18}} = (\frac{1}{n^{3}})^6[/tex]Apply the following law of indices:'[tex]\frac{1}{a^b} = a^{-b}[/tex][tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]Hence;(d) is correct

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