Solve 5^2^3div(5^2)^3

$$5 ^ { 2 ^ { 3 } } \div ( 5 ^ { 2 } ) ^ { 3 }$$

Evaluate

$$25$$

Solution Steps

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

$$\frac{5^{2^{3}}}{5^{6}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{5^{8}}{5^{6}}$$

Calculate 5 to the power of 8 and get 390625.

$$\frac{390625}{5^{6}}$$

Calculate 5 to the power of 6 and get 15625.

$$\frac{390625}{15625}$$

Divide 390625 by 15625 to get 25.

$$25$$

Factor

$$5^{2}$$