Solve frac{5^{12}*(5^4)^2}{(5^5)^4}

$$\frac { 5 ^ { 12 } \cdot ( 5 ^ { 4 } ) ^ { 2 } } { ( 5 ^ { 5 } ) ^ { 4 } }$$

Evaluate

$$1$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$\frac{5^{12}\times 5^{8}}{\left(5^{5}\right)^{4}}$$

To multiply powers of the same base, add their exponents. Add 12 and 8 to get 20.

$$\frac{5^{20}}{\left(5^{5}\right)^{4}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 4 to get 20.

$$\frac{5^{20}}{5^{20}}$$

Divide 5^{20} by 5^{20} to get 1.

$$1$$

Factor

$$1$$