Solve 15625*3125*24490625/(5^6)^3

$$\frac { 15625 \cdot 3125 \cdot 24490625 } { ( 5 ^ { 6 } ) ^ { 3 } }$$

Evaluate

$$\frac{7837}{25}=313.48$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 6 and 3 to get 18.

$$\frac{15625\times 3125\times 24490625}{5^{18}}$$

Multiply 15625 and 3125 to get 48828125.

$$\frac{48828125\times 24490625}{5^{18}}$$

Multiply 48828125 and 24490625 to get 1195831298828125.

$$\frac{1195831298828125}{5^{18}}$$

Calculate 5 to the power of 18 and get 3814697265625.

$$\frac{1195831298828125}{3814697265625}$$

Reduce the fraction \frac{1195831298828125}{3814697265625} to lowest terms by extracting and canceling out 152587890625.

$$\frac{7837}{25}$$

Factor

$$\frac{17 \cdot 461}{5 ^ {2}} = 313\frac{12}{25} = 313.48$$