Question

Find the quotient.

n 7 ÷ n 3

Answer 1

`\displaystyle n^7:n^3 =(n^7)/(n^3) =n^(7-3)=n^4`

Answer 2

Answer:
`n^4`

Explanation:

The given division problem is
`n^7/ n^3`

The law of exponents says that
`a^(m+n)=a^ma^n`

Therefore,
`n^7=n^(3+4)=n^3n^4`

Now, the division problem becomes

`n^7/ n^3\\\\=(n^7)/(n^3)\\\\=(n^3n^4)/(n^3)\\\\\text{Cancel }n^3\text{ as common from numerator and denominator, we get}\\\\n^7/ n^3=n^4`

hence, the quotient of the given problem =
`n^4`