Solve frac{(5^{2})^{3}(7^3)^4}{(7^11)(5^5)}

$$\frac { ( 5 ^ { 2 } ) ^ { 3 } ( 7 ^ { 3 } ) ^ { 4 } } { ( 7 ^ { 11 } ) ( 5 ^ { 5 } ) }$$

Evaluate

$$35$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\frac{5^{6}\times \left(7^{3}\right)^{4}}{7^{11}\times 5^{5}}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$\frac{5^{6}\times 7^{12}}{7^{11}\times 5^{5}}$$

Cancel out 5^{5}\times 7^{11} in both numerator and denominator.

$$5\times 7$$

Multiply 5 and 7 to get 35.

$$35$$

Factor

$$5\times 7$$