Solve 8000*1-1^5/2/1-frac{1{2}}

$$8000 \times \frac{ 1- \frac{ { 1 }^{ 5 } }{ 2 } }{ 1- \frac{ 1 }{ 2 } }$$

Evaluate

$$8000$$

Solution Steps

Calculate 1 to the power of 5 and get 1.

$$8000\times \frac{1-\frac{1}{2}}{1-\frac{1}{2}}$$

Convert 1 to fraction \frac{2}{2}.

$$8000\times \frac{\frac{2}{2}-\frac{1}{2}}{1-\frac{1}{2}}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$8000\times \frac{\frac{2-1}{2}}{1-\frac{1}{2}}$$

Subtract 1 from 2 to get 1.

$$8000\times \frac{\frac{1}{2}}{1-\frac{1}{2}}$$

Convert 1 to fraction \frac{2}{2}.

$$8000\times \frac{\frac{1}{2}}{\frac{2}{2}-\frac{1}{2}}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$8000\times \frac{\frac{1}{2}}{\frac{2-1}{2}}$$

Subtract 1 from 2 to get 1.

$$8000\times \frac{\frac{1}{2}}{\frac{1}{2}}$$

Divide \frac{1}{2} by \frac{1}{2} to get 1.

$$8000\times 1$$

Multiply 8000 and 1 to get 8000.

$$8000$$

Factor

$$2^{6}\times 5^{3}$$