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\sqrt[3]{4.7\times \frac{1}{100000000000000000000000}}
Calculate 10 to the power of -23 and get \frac{1}{100000000000000000000000}.
\sqrt[3]{\frac{47}{1000000000000000000000000}}
Multiply 4.7 and \frac{1}{100000000000000000000000} to get \frac{47}{1000000000000000000000000}.