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

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

Evaluate

$$25$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

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

Cancel out 3^{7}\times 5^{10} in both numerator and denominator.

$$5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$25$$

Factor

$$5^{2}$$