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

$$4 ^ { 4 } + 2 ^ { 2 } ( 5 \times 5 ) ^ { 2 }$$

Evaluate

$$2756$$

Solution Steps

Calculate 4 to the power of 4 and get 256.

$$256+2^{2}\times \left(5\times 5\right)^{2}$$

Calculate 2 to the power of 2 and get 4.

$$256+4\times \left(5\times 5\right)^{2}$$

Multiply 5 and 5 to get 25.

$$256+4\times 25^{2}$$

Calculate 25 to the power of 2 and get 625.

$$256+4\times 625$$

Multiply 4 and 625 to get 2500.

$$256+2500$$

Add 256 and 2500 to get 2756.

$$2756$$

Factor

$$2^{2}\times 13\times 53$$