Question

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

Answer 1

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:

$\begin{gathered} \frac{7^9}{7^n}=7^3 \\ 7^{9-n}=7^3 \\ 9-n=3 \\ -n=3-9 \\ -n=-6 \\ n=6 \end{gathered}$

Therefore the correct option is the second one.