Answer
$\frac{1}{3}$
Work Step by Step
Step 1: We need to transform 81 into a number of power 4 so that exponential powers can cancel each other out
Step 2: We find that $81=3^{4}$
Step 3: Therefore, we can write $(\frac{1}{81})^{\frac{1}{4}}$ as $(\frac{1}{3^{4}})^{\frac{1}{4}}$
Step 4: $(\frac{1}{3^{4}})^{\frac{1}{4}}$= $\frac{1^{\frac{1}{4}}}{3^{4\times\frac{1}{4}}}$
Step 5: $1^{\frac{1}{4}}$=$ 1$ and ${3^{4\times\frac{1}{4}}}$=$3$ as both 4s cancel each other out
Step 6: Therefore, what remains is $\frac{1}{3}$
