Solve sqrt[1.96]{0.0003142693*0.99965466/420022}

$$\sqrt[ 1.96 ]{ \frac{ 0.0003142693 \cdot 0.99965466 }{ 420022 } }$$

Evaluate

$$\frac{157080385119969^{\frac{25}{49}}\times 210011000000000000000000^{\frac{24}{49}}}{210011000000000000000000}\approx 0.000022071$$

Solution Steps

Multiply 0.0003142693 and 0.99965466 to get 0.000314160770239938.

$$\sqrt[1.96]{\frac{0.000314160770239938}{420022}}$$

Expand \frac{0.000314160770239938}{420022} by multiplying both numerator and the denominator by 1000000000000000000.

$$\sqrt[1.96]{\frac{314160770239938}{420022000000000000000000}}$$

Reduce the fraction \frac{314160770239938}{420022000000000000000000} to lowest terms by extracting and canceling out 2.

$$\sqrt[1.96]{\frac{157080385119969}{210011000000000000000000}}$$