Solve 15^10/3^8*2^7=

$$\frac { 15 ^ { 10 } } { 3 ^ { 8 } * 2 ^ { 7 } } =$$

Evaluate

$$\frac{87890625}{128}=686645.5078125$$

Solution Steps

Calculate 15 to the power of 10 and get 576650390625.

$$\frac{576650390625}{3^{8}\times 2^{7}}$$

Calculate 3 to the power of 8 and get 6561.

$$\frac{576650390625}{6561\times 2^{7}}$$

Calculate 2 to the power of 7 and get 128.

$$\frac{576650390625}{6561\times 128}$$

Multiply 6561 and 128 to get 839808.

$$\frac{576650390625}{839808}$$

Reduce the fraction \frac{576650390625}{839808} to lowest terms by extracting and canceling out 6561.

$$\frac{87890625}{128}$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {10}}{2 ^ {7}} = 686645\frac{65}{128} = 686645.5078125$$