Solve 16*10^2*64/2^4*4^2

$$\frac { 16 \times 10 ^ { 2 } \times 64 } { 2 ^ { 4 } \times 4 ^ { 2 } }$$

Evaluate

$$400$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$\frac{16\times 100\times 64}{2^{4}\times 4^{2}}$$

Multiply 16 and 100 to get 1600.

$$\frac{1600\times 64}{2^{4}\times 4^{2}}$$

Multiply 1600 and 64 to get 102400.

$$\frac{102400}{2^{4}\times 4^{2}}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{102400}{16\times 4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{102400}{16\times 16}$$

Multiply 16 and 16 to get 256.

$$\frac{102400}{256}$$

Divide 102400 by 256 to get 400.

$$400$$

Factor

$$2^{4}\times 5^{2}$$