Answer:
n = 6
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{m}*a^{n}=a^{m+n}\\\\[/tex]
[tex]\frac{(-4)^{10}}{(-4)^{n}}=(-4)^{2}*(-4)^{2} \\\\(-4)^{10-n}=(-4)^{2+2}\\\\(-4)^{10-n}=(-4)^{4}[/tex]
Compare the exponents,
10 - n = 4
10 = 4 +n
10 - 4 = n
6 = n
