Solve frac{5^{5}*6^3*8^10}{5^3*6*8^8}=

$$\frac { 5 ^ { 5 } \cdot 6 ^ { 3 } \cdot 8 ^ { 10 } } { 5 ^ { 3 } \cdot 6 \cdot 8 ^ { 8 } } =$$

Evaluate

$$57600$$

Solution Steps

Cancel out 6\times 5^{3}\times 8^{8} in both numerator and denominator.

$$5^{2}\times 6^{2}\times 8^{2}$$

Calculate 5 to the power of 2 and get 25.

$$25\times 6^{2}\times 8^{2}$$

Calculate 6 to the power of 2 and get 36.

$$25\times 36\times 8^{2}$$

Multiply 25 and 36 to get 900.

$$900\times 8^{2}$$

Calculate 8 to the power of 2 and get 64.

$$900\times 64$$

Multiply 900 and 64 to get 57600.

$$57600$$

Factor

$$2^{8}\times 3^{2}\times 5^{2}$$