Given:
Consider the expression is
[tex]\dfrac{n^4}{n^{\frac{1}{2}}}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{n^4}{n^{\frac{1}{2}}}[/tex]
Using the properties of exponents, we get
[tex]=n^{4-\frac{1}{2}}[/tex] [tex]\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right][/tex]
[tex]=n^{\frac{8-1}{2}}[/tex]
[tex]=n^{\frac{7}{2}}[/tex]
Therefore, the simplified form of the given expression is [tex]n^{\frac{7}{2}}[/tex].
