Solve 8^2*64^4*2^-7/frac{1{2}*128^2}=

$$\frac { 8 ^ { 2 } \cdot 64 ^ { 4 } \cdot 2 ^ { - 7 } } { \frac { 1 } { 2 } \cdot 128 ^ { 2 } } =$$

Evaluate

$$1024$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{64\times 64^{4}\times 2^{-7}}{\frac{1}{2}\times 128^{2}}$$

Calculate 64 to the power of 4 and get 16777216.

$$\frac{64\times 16777216\times 2^{-7}}{\frac{1}{2}\times 128^{2}}$$

Multiply 64 and 16777216 to get 1073741824.

$$\frac{1073741824\times 2^{-7}}{\frac{1}{2}\times 128^{2}}$$

Calculate 2 to the power of -7 and get \frac{1}{128}.

$$\frac{1073741824\times \frac{1}{128}}{\frac{1}{2}\times 128^{2}}$$

Multiply 1073741824 and \frac{1}{128} to get 8388608.

$$\frac{8388608}{\frac{1}{2}\times 128^{2}}$$

Calculate 128 to the power of 2 and get 16384.

$$\frac{8388608}{\frac{1}{2}\times 16384}$$

Multiply \frac{1}{2} and 16384 to get 8192.

$$\frac{8388608}{8192}$$

Divide 8388608 by 8192 to get 1024.

$$1024$$

Factor

$$2^{10}$$