Answer: [tex]n^4[/tex]
Step-by-step explanation:
The given division problem is [tex]n^7\div n^3[/tex]
The law of exponents says that [tex]a^{m+n}=a^ma^n[/tex]
Therefore, [tex]n^7=n^{3+4}=n^3n^4[/tex]
Now, the division problem becomes
[tex]n^7\div n^3\\\\=\frac{n^7}{n^3}\\\\=\frac{n^3n^4}{n^3}\\\\\text{Cancel }n^3\text{ as common from numerator and denominator, we get}\\\\n^7\div n^3=n^4[/tex]
hence, the quotient of the given problem = [tex]n^4[/tex]
