What value of n makes the equation true? Show your work.

Answer:
4
Step-by-step explanation:
[tex](7^5*7^n)^4 = (\frac{7^{16}}{7^n})^3[/tex]
[tex]7^{20}*7^{4n} = \frac{7^{48}}{7^{3n}}[/tex]
[tex]7^{7n} = \frac{7^{48}}{7^{20}}[/tex]
[tex]7^{7n} = 7^{28}\\[/tex]
[tex]n = 4[/tex]