Solve x(12)=(1/2*4(6)*6)(6+6/3)+(1/2*4(6)*6)(2(6/3))

$$x(12)=( \frac{ 1 }{ 2 } \times 4(6) \times 6)(6+ \frac{ 6 }{ 3 } )+( \frac{ 1 }{ 2 } \times 4(6) \times 6)(2( \frac{ 6 }{ 3 } ))$$

Evaluate

$$864$$

Solution Steps

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$\frac{4}{2}\times 6\times 6\left(6+\frac{6}{3}\right)+\frac{1}{2}\times 4\times 6\times 6\times 2\times \frac{6}{3}$$

Divide 4 by 2 to get 2.

$$2\times 6\times 6\left(6+\frac{6}{3}\right)+\frac{1}{2}\times 4\times 6\times 6\times 2\times \frac{6}{3}$$

Multiply 2 and 6 to get 12.

$$12\times 6\left(6+\frac{6}{3}\right)+\frac{1}{2}\times 4\times 6\times 6\times 2\times \frac{6}{3}$$

Multiply 12 and 6 to get 72.

$$72\left(6+\frac{6}{3}\right)+\frac{1}{2}\times 4\times 6\times 6\times 2\times \frac{6}{3}$$

Divide 6 by 3 to get 2.

$$72\left(6+2\right)+\frac{1}{2}\times 4\times 6\times 6\times 2\times \frac{6}{3}$$

Add 6 and 2 to get 8.

$$72\times 8+\frac{1}{2}\times 4\times 6\times 6\times 2\times \frac{6}{3}$$

Multiply 72 and 8 to get 576.

$$576+\frac{1}{2}\times 4\times 6\times 6\times 2\times \frac{6}{3}$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$576+\frac{4}{2}\times 6\times 6\times 2\times \frac{6}{3}$$

Divide 4 by 2 to get 2.

$$576+2\times 6\times 6\times 2\times \frac{6}{3}$$

Multiply 2 and 6 to get 12.

$$576+12\times 6\times 2\times \frac{6}{3}$$

Multiply 12 and 6 to get 72.

$$576+72\times 2\times \frac{6}{3}$$

Multiply 72 and 2 to get 144.

$$576+144\times \frac{6}{3}$$

Divide 6 by 3 to get 2.

$$576+144\times 2$$

Multiply 144 and 2 to get 288.

$$576+288$$

Add 576 and 288 to get 864.

$$864$$

Factor

$$2^{5}\times 3^{3}$$