Solve frac{5^{5}*6^3*8^10}{5^3*6*8^9}

$$\frac { 5 ^ { 5 } \cdot 6 ^ { 3 } \cdot 8 ^ { 10 } } { 5 ^ { 3 } \cdot 6 \cdot 8 ^ { 9 } }$$

Evaluate

$$7200$$

Solution Steps

Cancel out 6\times 5^{3}\times 8^{9} in both numerator and denominator.

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

Calculate 5 to the power of 2 and get 25.

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

Multiply 8 and 25 to get 200.

$$200\times 6^{2}$$

Calculate 6 to the power of 2 and get 36.

$$200\times 36$$

Multiply 200 and 36 to get 7200.

$$7200$$

Factor

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