Solve 7!/1!(7-1)!*06^1*04^6

$$\frac{ 7 ! }{ 1 ! (7-1) ! } \times { 06 }^{ 1 } \times { 04 }^{ 6 }$$

Evaluate

$$0$$

Solution Steps

The factorial of 7 is 5040.

$$\frac{5040}{1!\left(7-1\right)!}\times \left(0\times 6\right)^{1}\times \left(0\times 4\right)^{6}$$

The factorial of 1 is 1.

$$\frac{5040}{1\left(7-1\right)!}\times \left(0\times 6\right)^{1}\times \left(0\times 4\right)^{6}$$

Subtract 1 from 7 to get 6.

$$\frac{5040}{1\times 6!}\times \left(0\times 6\right)^{1}\times \left(0\times 4\right)^{6}$$

The factorial of 6 is 720.

$$\frac{5040}{1\times 720}\times \left(0\times 6\right)^{1}\times \left(0\times 4\right)^{6}$$

Multiply 1 and 720 to get 720.

$$\frac{5040}{720}\times \left(0\times 6\right)^{1}\times \left(0\times 4\right)^{6}$$

Divide 5040 by 720 to get 7.

$$7\times \left(0\times 6\right)^{1}\times \left(0\times 4\right)^{6}$$

Multiply 0 and 6 to get 0.

$$7\times 0^{1}\times \left(0\times 4\right)^{6}$$

Calculate 0 to the power of 1 and get 0.

$$7\times 0\times \left(0\times 4\right)^{6}$$

Multiply 7 and 0 to get 0.

$$0\times \left(0\times 4\right)^{6}$$

Multiply 0 and 4 to get 0.

$$0\times 0^{6}$$

Calculate 0 to the power of 6 and get 0.

$$0\times 0$$

Multiply 0 and 0 to get 0.

$$0$$

Factor

$$0$$