Solve sqrt[7]{3!/9!}

$$\sqrt[ 7 ] { \frac { 3 ! } { 9 ! } }$$

Evaluate

$$\frac{945^{\frac{6}{7}}\sqrt[7]{2}}{1890}\approx 0.2074496$$

Solution Steps

The factorial of 3 is 6.

$$\sqrt[7]{\frac{6}{9!}}$$

The factorial of 9 is 362880.

$$\sqrt[7]{\frac{6}{362880}}$$

Reduce the fraction \frac{6}{362880} to lowest terms by extracting and canceling out 6.

$$\sqrt[7]{\frac{1}{60480}}$$