Solve frac{4096^frac{8{3}}}{40}-frac{1^frac{8{3}}}{40}

$$\frac { 4096 ^ { \frac { 8 } { 3 } } } { 40 } - \frac { 1 ^ { \frac { 8 } { 3 } } } { 40 }$$

Evaluate

$$\frac{858993459}{8}=107374182.375$$

Solution Steps

Calculate 4096 to the power of \frac{8}{3} and get 4294967296.

$$\frac{4294967296}{40}-\frac{1^{\frac{8}{3}}}{40}$$

Reduce the fraction \frac{4294967296}{40} to lowest terms by extracting and canceling out 8.

$$\frac{536870912}{5}-\frac{1^{\frac{8}{3}}}{40}$$

Calculate 1 to the power of \frac{8}{3} and get 1.

$$\frac{536870912}{5}-\frac{1}{40}$$

Subtract \frac{1}{40} from \frac{536870912}{5} to get \frac{858993459}{8}.

$$\frac{858993459}{8}$$

Factor

$$\frac{3 \cdot 17 \cdot 257 \cdot 65537}{2 ^ {3}} = 107374182\frac{3}{8} = 107374182.375$$