Solve 1[(5^8+3*2^7):5]^2

$$1 [ ( 5 ^ { 8 } + 3 \cdot 2 ^ { 7 } ) : 5 ] ^ { 2 }$$

Evaluate

$$\frac{152888038081}{25}=6115521523.24$$

Solution Steps

Calculate 5 to the power of 8 and get 390625.

$$1\times \left(\frac{390625+3\times 2^{7}}{5}\right)^{2}$$

Calculate 2 to the power of 7 and get 128.

$$1\times \left(\frac{390625+3\times 128}{5}\right)^{2}$$

Multiply 3 and 128 to get 384.

$$1\times \left(\frac{390625+384}{5}\right)^{2}$$

Add 390625 and 384 to get 391009.

$$1\times \left(\frac{391009}{5}\right)^{2}$$

Calculate \frac{391009}{5} to the power of 2 and get \frac{152888038081}{25}.

$$1\times \frac{152888038081}{25}$$

Multiply 1 and \frac{152888038081}{25} to get \frac{152888038081}{25}.

$$\frac{152888038081}{25}$$

Factor

$$\frac{391009 ^ {2}}{5 ^ {2}} = 6115521523\frac{6}{25} = 6115521523.24$$