Solve 8^3*16^3/32^2*4^5

$$\frac { 8 ^ { 3 } \cdot 16 ^ { 3 } } { 32 ^ { 2 } \cdot 4 ^ { 5 } }$$

Evaluate

$$2$$

Solution Steps

Calculate 8 to the power of 3 and get 512.

$$\frac{512\times 16^{3}}{32^{2}\times 4^{5}}$$

Calculate 16 to the power of 3 and get 4096.

$$\frac{512\times 4096}{32^{2}\times 4^{5}}$$

Multiply 512 and 4096 to get 2097152.

$$\frac{2097152}{32^{2}\times 4^{5}}$$

Calculate 32 to the power of 2 and get 1024.

$$\frac{2097152}{1024\times 4^{5}}$$

Calculate 4 to the power of 5 and get 1024.

$$\frac{2097152}{1024\times 1024}$$

Multiply 1024 and 1024 to get 1048576.

$$\frac{2097152}{1048576}$$

Divide 2097152 by 1048576 to get 2.

$$2$$

Factor

$$2$$