Given:
The expression is
[tex]\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}[/tex]
To find:
The simplified form of given expression.
Solution:
We have,
[tex]\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}[/tex]
It can be written as
[tex]\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}=\sqrt[3]{\dfrac{9}{4}}[/tex] [tex]\left[\because \dfrac{\sqrt[a]{x}}{\sqrt[a]{y}}=\sqrt[a]{\dfrac{x}{y}}\right][/tex]
Therefore, the simplified form of given expression is [tex]\sqrt[3]{\dfrac{9}{4}}[/tex].
Note: We can further simplify this expression but be need use exponential properties.
