Solve frac{4^{2}*6^{2}*10^2}{2^8*3^2*5^2}

$$\frac { 4 ^ { 2 } \times 6 ^ { 2 } \times 10 ^ { 2 } } { 2 ^ { 8 } \times 3 ^ { 2 } \times 5 ^ { 2 } }$$

Evaluate

$$1$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\frac{16\times 6^{2}\times 10^{2}}{2^{8}\times 3^{2}\times 5^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{16\times 36\times 10^{2}}{2^{8}\times 3^{2}\times 5^{2}}$$

Multiply 16 and 36 to get 576.

$$\frac{576\times 10^{2}}{2^{8}\times 3^{2}\times 5^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{576\times 100}{2^{8}\times 3^{2}\times 5^{2}}$$

Multiply 576 and 100 to get 57600.

$$\frac{57600}{2^{8}\times 3^{2}\times 5^{2}}$$

Calculate 2 to the power of 8 and get 256.

$$\frac{57600}{256\times 3^{2}\times 5^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{57600}{256\times 9\times 5^{2}}$$

Multiply 256 and 9 to get 2304.

$$\frac{57600}{2304\times 5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{57600}{2304\times 25}$$

Multiply 2304 and 25 to get 57600.

$$\frac{57600}{57600}$$

Divide 57600 by 57600 to get 1.

$$1$$

Factor

$$1$$