Solve 12^6*9^8*4/6^2*8^2*27

$$\frac { 12 ^ { 6 } \times 9 ^ { 8 } \times 4 } { 6 ^ { 2 } \times 8 ^ { 2 } \times 27 }$$

Evaluate

$$8264970432$$

Solution Steps

Calculate 12 to the power of 6 and get 2985984.

$$\frac{2985984\times 9^{8}\times 4}{6^{2}\times 8^{2}\times 27}$$

Calculate 9 to the power of 8 and get 43046721.

$$\frac{2985984\times 43046721\times 4}{6^{2}\times 8^{2}\times 27}$$

Multiply 2985984 and 43046721 to get 128536820158464.

$$\frac{128536820158464\times 4}{6^{2}\times 8^{2}\times 27}$$

Multiply 128536820158464 and 4 to get 514147280633856.

$$\frac{514147280633856}{6^{2}\times 8^{2}\times 27}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{514147280633856}{36\times 8^{2}\times 27}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{514147280633856}{36\times 64\times 27}$$

Multiply 36 and 64 to get 2304.

$$\frac{514147280633856}{2304\times 27}$$

Multiply 2304 and 27 to get 62208.

$$\frac{514147280633856}{62208}$$

Divide 514147280633856 by 62208 to get 8264970432.

$$8264970432$$

Factor

$$2^{6}\times 3^{17}$$