Question

Simplify n^4 divided by n1/2

Answer 1

Given:

Consider the expression is

$\dfrac{n^4}{n^{\frac{1}{2}}}$

To find:

The simplified form of the given expression.

Solution:

We have,

$\dfrac{n^4}{n^{\frac{1}{2}}}$

Using the properties of exponents, we get

$=n^{4-\frac{1}{2}}$               $\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]$

$=n^{\frac{8-1}{2}}$

$=n^{\frac{7}{2}}$

Therefore, the simplified form of the given expression is $n^{\frac{7}{2}}$.