Solve 13^4/(frac{52*51*50*49{4*3*2})}

$$\frac { 13 ^ { 4 } } { ( \frac { 52 \times 51 \times 50 \times 49 } { 4 \times 3 \times 2 } ) }$$

Evaluate

$$\frac{2197}{20825}\approx 0.105498199$$

Solution Steps

Calculate 13 to the power of 4 and get 28561.

$$\frac{28561}{\frac{52\times 51\times 50\times 49}{4\times 3\times 2}}$$

Cancel out 2\times 3\times 4 in both numerator and denominator.

$$\frac{28561}{13\times 17\times 25\times 49}$$

Multiply 13 and 17 to get 221.

$$\frac{28561}{221\times 25\times 49}$$

Multiply 221 and 25 to get 5525.

$$\frac{28561}{5525\times 49}$$

Multiply 5525 and 49 to get 270725.

$$\frac{28561}{270725}$$

Reduce the fraction \frac{28561}{270725} to lowest terms by extracting and canceling out 13.

$$\frac{2197}{20825}$$

Factor

$$\frac{13 ^ {3}}{5 ^ {2} \cdot 7 ^ {2} \cdot 17} = 0.10549819927971188$$