Solve 2^37/2^35+2^38+2^39

$$\frac{ { 2 }^{ 37 } }{ { 2 }^{ 35 } + { 2 }^{ 38 } + { 2 }^{ 39 } }$$

Evaluate

$$\frac{4}{25}=0.16$$

Solution Steps

Calculate 2 to the power of 37 and get 137438953472.

$$\frac{137438953472}{2^{35}+2^{38}+2^{39}}$$

Calculate 2 to the power of 35 and get 34359738368.

$$\frac{137438953472}{34359738368+2^{38}+2^{39}}$$

Calculate 2 to the power of 38 and get 274877906944.

$$\frac{137438953472}{34359738368+274877906944+2^{39}}$$

Add 34359738368 and 274877906944 to get 309237645312.

$$\frac{137438953472}{309237645312+2^{39}}$$

Calculate 2 to the power of 39 and get 549755813888.

$$\frac{137438953472}{309237645312+549755813888}$$

Add 309237645312 and 549755813888 to get 858993459200.

$$\frac{137438953472}{858993459200}$$

Reduce the fraction \frac{137438953472}{858993459200} to lowest terms by extracting and canceling out 34359738368.

$$\frac{4}{25}$$

Factor

$$\frac{2 ^ {2}}{5 ^ {2}} = 0.16$$