Solve 1/2*4^8*(1/8)^4

$$\frac { 1 } { 2 } \times 4 ^ { 8 } \times ( \frac { 1 } { 8 } ) ^ { 4 }$$

Evaluate

$$8$$

Solution Steps

Calculate 4 to the power of 8 and get 65536.

$$\frac{1}{2}\times 65536\times \left(\frac{1}{8}\right)^{4}$$

Multiply \frac{1}{2} and 65536 to get \frac{65536}{2}.

$$\frac{65536}{2}\times \left(\frac{1}{8}\right)^{4}$$

Divide 65536 by 2 to get 32768.

$$32768\times \left(\frac{1}{8}\right)^{4}$$

Calculate \frac{1}{8} to the power of 4 and get \frac{1}{4096}.

$$32768\times \frac{1}{4096}$$

Multiply 32768 and \frac{1}{4096} to get \frac{32768}{4096}.

$$\frac{32768}{4096}$$

Divide 32768 by 4096 to get 8.

$$8$$

Factor

$$2^{3}$$