Solve frac{5^{4}*3^{7}*5^8}{3^2*5^10*3^4}

$$\frac { 5 ^ { 4 } \cdot 3 ^ { 7 } \cdot 5 ^ { 8 } } { 3 ^ { 2 } \cdot 5 ^ { 10 } \cdot 3 ^ { 4 } }$$

Evaluate

$$75$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 8 to get 12.

$$\frac{5^{12}\times 3^{7}}{3^{2}\times 5^{10}\times 3^{4}}$$

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{5^{12}\times 3^{7}}{3^{6}\times 5^{10}}$$

Cancel out 3^{6}\times 5^{10} in both numerator and denominator.

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

Calculate 5 to the power of 2 and get 25.

$$3\times 25$$

Multiply 3 and 25 to get 75.

$$75$$

Factor

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