Solve 19*17*15*2*13*(1/2)^20

$$19 \times 17 \times 15 \times 2 \times 13 \times ( \frac { 1 } { 2 } ) ^ { 20 }$$

Evaluate

$$\frac{62985}{524288}\approx 0.120134354$$

Solution Steps

Multiply 19 and 17 to get 323.

$$323\times 15\times 2\times 13\times \left(\frac{1}{2}\right)^{20}$$

Multiply 323 and 15 to get 4845.

$$4845\times 2\times 13\times \left(\frac{1}{2}\right)^{20}$$

Multiply 4845 and 2 to get 9690.

$$9690\times 13\times \left(\frac{1}{2}\right)^{20}$$

Multiply 9690 and 13 to get 125970.

$$125970\times \left(\frac{1}{2}\right)^{20}$$

Calculate \frac{1}{2} to the power of 20 and get \frac{1}{1048576}.

$$125970\times \frac{1}{1048576}$$

Multiply 125970 and \frac{1}{1048576} to get \frac{125970}{1048576}.

$$\frac{125970}{1048576}$$

Reduce the fraction \frac{125970}{1048576} to lowest terms by extracting and canceling out 2.

$$\frac{62985}{524288}$$

Factor

$$\frac{3 \cdot 5 \cdot 13 \cdot 17 \cdot 19}{2 ^ {19}} = 0.12013435363769531$$