Solve 5^5*5^5/(5^2)^4

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

Evaluate

$$25$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 5 to get 10.

$$\frac{5^{10}}{\left(5^{2}\right)^{4}}$$

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

$$\frac{5^{10}}{5^{8}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 8 from 10 to get 2.

$$5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$25$$

Factor

$$5^{2}$$