Solve 6*5*4*3*2*1/6^6

$$\frac{ 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{ { 6 }^{ 6 } }$$

Evaluate

$$\frac{5}{324}\approx 0.015432099$$

Solution Steps

Cancel out 6 in both numerator and denominator.

$$\frac{2\times 3\times 4\times 5}{6^{5}}$$

Multiply 2 and 3 to get 6.

$$\frac{6\times 4\times 5}{6^{5}}$$

Multiply 6 and 4 to get 24.

$$\frac{24\times 5}{6^{5}}$$

Multiply 24 and 5 to get 120.

$$\frac{120}{6^{5}}$$

Calculate 6 to the power of 5 and get 7776.

$$\frac{120}{7776}$$

Reduce the fraction \frac{120}{7776} to lowest terms by extracting and canceling out 24.

$$\frac{5}{324}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3 ^ {4}} = 0.015432098765432098$$