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\sqrt[4]{\frac{0}{10^{10}}}
Cancel out 4 in both numerator and denominator.
\sqrt[4]{\frac{0}{10000000000}}
Calculate 10 to the power of 10 and get 10000000000.
\sqrt[4]{0}
Zero divided by any non-zero number gives zero.
0
Calculate \sqrt[4]{0} and get 0.