Solve sqrt[3]{2*7*10^-31/1*10^-5}

$$\sqrt[ 3 ] { \frac { 2 \cdot 7 \times 10 ^ { - 31 } } { 1 \times 10 ^ { - 5 } } }$$

Evaluate

$$\frac{\sqrt[3]{7}\times 50^{\frac{2}{3}}}{5000000000}\approx 5.192494102 \cdot 10^{-9}$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\sqrt[3]{\frac{2\times 7}{10^{26}}}$$

Multiply 2 and 7 to get 14.

$$\sqrt[3]{\frac{14}{10^{26}}}$$

Calculate 10 to the power of 26 and get 100000000000000000000000000.

$$\sqrt[3]{\frac{14}{100000000000000000000000000}}$$

Reduce the fraction \frac{14}{100000000000000000000000000} to lowest terms by extracting and canceling out 2.

$$\sqrt[3]{\frac{7}{50000000000000000000000000}}$$