Question

Simplify n^4 divided by n1/2

Answer 1

Given:

Consider the expression is

`\frac{n^4}{n^{(1)/(2)}}`

To find:

The simplified form of the given expression.

Solution:

We have,

`\frac{n^4}{n^{(1)/(2)}}`

Using the properties of exponents, we get

`=n^{4-(1)/(2)}`
`\left[\because (a^m)/(a^n)=a^(m-n)\right]`

`=n^{(8-1)/(2)}`

`=n^{(7)/(2)}`

Therefore, the simplified form of the given expression is
`n^{(7)/(2)}`.