Solve [(-5)^3]^4-(5^4)^3

$$[ ( - 5 ) ^ { 3 } ] ^ { 4 } - ( 5 ^ { 4 } ) ^ { 3 }$$

Evaluate

$$0$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$\left(-5\right)^{12}-\left(5^{4}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 3 to get 12.

$$\left(-5\right)^{12}-5^{12}$$

Calculate -5 to the power of 12 and get 244140625.

$$244140625-5^{12}$$

Calculate 5 to the power of 12 and get 244140625.

$$244140625-244140625$$

Subtract 244140625 from 244140625 to get 0.

$$0$$

Factor

$$0$$