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

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

Evaluate

$$152587890625$$

Solution Steps

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

$$5^{8}\times \left(5^{4}\right)^{2}$$

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

$$5^{8}\times 5^{8}$$

To multiply powers of the same base, add their exponents. Add 8 and 8 to get 16.

$$5^{16}$$

Calculate 5 to the power of 16 and get 152587890625.

$$152587890625$$

Factor

$$5^{16}$$