Solve 256(1-{left(1/2right)}^6)=

$$256(1- { \left( \frac{ 1 }{ 2 } \right) }^{ 6 } )=$$

Evaluate

$$252$$

Solution Steps

Calculate \frac{1}{2} to the power of 6 and get \frac{1}{64}.

$$256\left(1-\frac{1}{64}\right)$$

Convert 1 to fraction \frac{64}{64}.

$$256\left(\frac{64}{64}-\frac{1}{64}\right)$$

Since \frac{64}{64} and \frac{1}{64} have the same denominator, subtract them by subtracting their numerators.

$$256\times \frac{64-1}{64}$$

Subtract 1 from 64 to get 63.

$$256\times \frac{63}{64}$$

Express 256\times \frac{63}{64} as a single fraction.

$$\frac{256\times 63}{64}$$

Multiply 256 and 63 to get 16128.

$$\frac{16128}{64}$$

Divide 16128 by 64 to get 252.

$$252$$

Factor

$$2^{2}\times 3^{2}\times 7$$