Solve 33^10+62^15/225^10

$$\frac{ { 33 }^{ 10 } + { 62 }^{ 15 } }{ { 225 }^{ 10 } }$$

Evaluate

$$\frac{768909704950298247537898817}{332525673007965087890625}\approx 2312.331850936$$

Solution Steps

Calculate 33 to the power of 10 and get 1531578985264449.

$$\frac{1531578985264449+62^{15}}{225^{10}}$$

Calculate 62 to the power of 15 and get 768909704948766668552634368.

$$\frac{1531578985264449+768909704948766668552634368}{225^{10}}$$

Add 1531578985264449 and 768909704948766668552634368 to get 768909704950298247537898817.

$$\frac{768909704950298247537898817}{225^{10}}$$

Calculate 225 to the power of 10 and get 332525673007965087890625.

$$\frac{768909704950298247537898817}{332525673007965087890625}$$

Factor

$$\frac{61 \cdot 71 \cdot 431 \cdot 239417 \cdot 1720500899389141}{3 ^ {20} \cdot 5 ^ {20}} = 2312\frac{1.1034895588303069 \times 10^{23}}{3.3252567300796505 \times 10^{23}} = 2312.3318509361543$$