Solve 16^17:7^27*6^16*7^28=

$$16 ^ { 17 } : 7 ^ { 27 } \cdot 6 ^ { 16 } \cdot 7 ^ { 28 } =$$

Evaluate

$$5828512756264494195428145707876352$$

Solution Steps

Calculate 16 to the power of 17 and get 295147905179352825856.

$$\frac{295147905179352825856}{7^{27}}\times 6^{16}\times 7^{28}$$

Calculate 7 to the power of 27 and get 65712362363534280139543.

$$\frac{295147905179352825856}{65712362363534280139543}\times 6^{16}\times 7^{28}$$

Calculate 6 to the power of 16 and get 2821109907456.

$$\frac{295147905179352825856}{65712362363534280139543}\times 2821109907456\times 7^{28}$$

Express \frac{295147905179352825856}{65712362363534280139543}\times 2821109907456 as a single fraction.

$$\frac{295147905179352825856\times 2821109907456}{65712362363534280139543}\times 7^{28}$$

Multiply 295147905179352825856 and 2821109907456 to get 832644679466356313632592243982336.

$$\frac{832644679466356313632592243982336}{65712362363534280139543}\times 7^{28}$$

Calculate 7 to the power of 28 and get 459986536544739960976801.

$$\frac{832644679466356313632592243982336}{65712362363534280139543}\times 459986536544739960976801$$

Express \frac{832644679466356313632592243982336}{65712362363534280139543}\times 459986536544739960976801 as a single fraction.

$$\frac{832644679466356313632592243982336\times 459986536544739960976801}{65712362363534280139543}$$

Multiply 832644679466356313632592243982336 and 459986536544739960976801 to get 383005342280134399449629598191283649023973689860749787136.

$$\frac{383005342280134399449629598191283649023973689860749787136}{65712362363534280139543}$$

Divide 383005342280134399449629598191283649023973689860749787136 by 65712362363534280139543 to get 5828512756264494195428145707876352.

$$5828512756264494195428145707876352$$

Factor

$$2^{84}\times 3^{16}\times 7$$