Solve 0.5*(4^6-1)div3

$$0.5 \times ( { 4 }^{ 6 } -1) \div 3$$

Evaluate

$$682.5$$

Solution Steps

Calculate 4 to the power of 6 and get 4096.

$$\frac{0.5\left(4096-1\right)}{3}$$

Subtract 1 from 4096 to get 4095.

$$\frac{0.5\times 4095}{3}$$

Multiply 0.5 and 4095 to get 2047.5.

$$\frac{2047.5}{3}$$

Expand \frac{2047.5}{3} by multiplying both numerator and the denominator by 10.

$$\frac{20475}{30}$$

Reduce the fraction \frac{20475}{30} to lowest terms by extracting and canceling out 15.

$$\frac{1365}{2}$$

Factor

$$\frac{3 \cdot 5 \cdot 7 \cdot 13}{2} = 682\frac{1}{2} = 682.5$$