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If 7^9/7^n=7^3, then n is __

1 Answer

2 votes

In order to calculate the value of n, let's use the following property:


\frac{a^b^{}_{}}{a^c}=a^(b-c)

So we have:


\begin{gathered} (7^9)/(7^n)=7^3 \\ 7^(9-n)=7^3 \\ 9-n=3 \\ -n=3-9 \\ -n=-6 \\ n=6 \end{gathered}

Therefore the correct option is the second one.

User Piyuesh
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