Answer
... $=a^{\frac{1}{4}}\cdot a^{\frac{1}{4}}\cdot a^{\frac{1}{4}}\cdot a^{\frac{1}{4}}=a^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}=a^{\frac{1}{4}\cdot 4}=a^{1}$
Work Step by Step
$(a^{\frac{1}{4}})^{4}=a^{\frac{1}{4}}\cdot a^{\frac{1}{4}}\cdot a^{\frac{1}{4}}\cdot a^{\frac{1}{4}}=a^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}=a^{\frac{1}{4}\cdot 4}=a^{1}$
