Answer:
By property of power of a power:
[tex](3^{\frac{1}{4}} )^{2}[/tex]=[tex]3^{(\frac{1}{2})} [/tex]
Step-by-step explanation:
Given that [tex](3^{\frac{1}{4}} )^{2}[/tex]
The property of power of a power is given by,
=[tex](a^{b} )^{2}[/tex]
=[tex](a^{b} )\times (a^{b} )[/tex]
=[tex](a^{(b+b)} )[/tex]
Using the property of power of a power:
=[tex](3^{\frac{1}{4}} )^{2}[/tex]
=[tex](3^{\frac{1}{4}} )\times (3^{\frac{1}{4}} )[/tex]
=[tex]3^{(\frac{1}{4}+\frac{1}{4})} [/tex]
=[tex]3^{(\frac{1}{2})} [/tex]
