Solve 7!/0!(7-0)!*06^7*04^7

$$\frac{ 7 ! }{ 0 ! (7-0) ! } \times { 06 }^{ 7 } \times { 04 }^{ 7 }$$

Evaluate

$$0$$

Solution Steps

The factorial of 7 is 5040.

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

The factorial of 0 is 1.

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

Subtract 0 from 7 to get 7.

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

The factorial of 7 is 5040.

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

Multiply 1 and 5040 to get 5040.

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

Divide 5040 by 5040 to get 1.

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

Multiply 0 and 6 to get 0.

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

Calculate 0 to the power of 7 and get 0.

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

Multiply 1 and 0 to get 0.

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

Multiply 0 and 4 to get 0.

$$0\times 0^{7}$$

Calculate 0 to the power of 7 and get 0.

$$0\times 0$$

Multiply 0 and 0 to get 0.

$$0$$

Factor

$$0$$