Solve frac{{4096}^frac{5{3}}+1}{}-4096+1/40

$$\frac{ { 4096 }^{ \frac{ 5 }{ 3 } } +1 }{ } - \frac{ 4096+1 }{ 40 }$$

Evaluate

$$\frac{41938983}{40}=1048474.575$$

Solution Steps

Calculate 4096 to the power of \frac{5}{3} and get 1048576.

$$\frac{1048576+1}{1}-\frac{4096+1}{40}$$

Add 1048576 and 1 to get 1048577.

$$\frac{1048577}{1}-\frac{4096+1}{40}$$

Anything divided by one gives itself.

$$1048577-\frac{4096+1}{40}$$

Add 4096 and 1 to get 4097.

$$1048577-\frac{4097}{40}$$

Subtract \frac{4097}{40} from 1048577 to get \frac{41938983}{40}.

$$\frac{41938983}{40}$$

Factor

$$\frac{3 ^ {2} \cdot 17 \cdot 269 \cdot 1019}{2 ^ {3} \cdot 5} = 1048474\frac{23}{40} = 1048474.575$$