Solve 15!/12!07^1203^3

$$\frac{ 15 ! }{ 12 ! } { 07 }^{ 12 } { 03 }^{ 3 }$$

Evaluate

$$0$$

Solution Steps

The factorial of 15 is 1307674368000.

$$\frac{1307674368000}{12!}\times \left(0\times 7\right)^{12}\times \left(0\times 3\right)^{3}$$

The factorial of 12 is 479001600.

$$\frac{1307674368000}{479001600}\times \left(0\times 7\right)^{12}\times \left(0\times 3\right)^{3}$$

Divide 1307674368000 by 479001600 to get 2730.

$$2730\times \left(0\times 7\right)^{12}\times \left(0\times 3\right)^{3}$$

Multiply 0 and 7 to get 0.

$$2730\times 0^{12}\times \left(0\times 3\right)^{3}$$

Calculate 0 to the power of 12 and get 0.

$$2730\times 0\times \left(0\times 3\right)^{3}$$

Multiply 2730 and 0 to get 0.

$$0\times \left(0\times 3\right)^{3}$$

Multiply 0 and 3 to get 0.

$$0\times 0^{3}$$

Calculate 0 to the power of 3 and get 0.

$$0\times 0$$

Multiply 0 and 0 to get 0.

$$0$$

Factor

$$0$$