Solve 35^8/5^67^7

$$\frac { 35 ^ { 8 } } { 5 ^ { 6 } 7 ^ { 7 } }$$

Evaluate

$$175$$

Solution Steps

Calculate 35 to the power of 8 and get 2251875390625.

$$\frac{2251875390625}{5^{6}\times 7^{7}}$$

Calculate 5 to the power of 6 and get 15625.

$$\frac{2251875390625}{15625\times 7^{7}}$$

Calculate 7 to the power of 7 and get 823543.

$$\frac{2251875390625}{15625\times 823543}$$

Multiply 15625 and 823543 to get 12867859375.

$$\frac{2251875390625}{12867859375}$$

Divide 2251875390625 by 12867859375 to get 175.

$$175$$

Factor

$$5^{2}\times 7$$