Solve (5^1)^4(3^2)^2

$$( 5 ^ { 1 } ) ^ { 4 } ( 3 ^ { 2 } ) ^ { 2 }$$

Evaluate

$$50625$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 1 and 4 to get 4.

$$5^{4}\times \left(3^{2}\right)^{2}$$

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

$$5^{4}\times 3^{4}$$

Calculate 5 to the power of 4 and get 625.

$$625\times 3^{4}$$

Calculate 3 to the power of 4 and get 81.

$$625\times 81$$

Multiply 625 and 81 to get 50625.

$$50625$$

Factor

$$3^{4}\times 5^{4}$$