Solve 5^6*2^3-(5^2)^4

$$5 ^ { 6 } \times 2 ^ { 3 } - ( 5 ^ { 2 } ) ^ { 4 }$$

Evaluate

$$-265625$$

Solution Steps

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

$$5^{6}\times 2^{3}-5^{8}$$

Calculate 5 to the power of 6 and get 15625.

$$15625\times 2^{3}-5^{8}$$

Calculate 2 to the power of 3 and get 8.

$$15625\times 8-5^{8}$$

Multiply 15625 and 8 to get 125000.

$$125000-5^{8}$$

Calculate 5 to the power of 8 and get 390625.

$$125000-390625$$

Subtract 390625 from 125000 to get -265625.

$$-265625$$

Factor

$$-265625$$