Solve 4+4*2-5:2-4^4+100

$$4 + 4 \times 2 - 5 : 2 - 4 ^ { 4 } + 100$$

Evaluate

$$-\frac{293}{2}=-146.5$$

Solution Steps

Multiply 4 and 2 to get 8.

$$4+8-\frac{5}{2}-4^{4}+100$$

Add 4 and 8 to get 12.

$$12-\frac{5}{2}-4^{4}+100$$

Convert 12 to fraction \frac{24}{2}.

$$\frac{24}{2}-\frac{5}{2}-4^{4}+100$$

Since \frac{24}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-5}{2}-4^{4}+100$$

Subtract 5 from 24 to get 19.

$$\frac{19}{2}-4^{4}+100$$

Calculate 4 to the power of 4 and get 256.

$$\frac{19}{2}-256+100$$

Convert 256 to fraction \frac{512}{2}.

$$\frac{19}{2}-\frac{512}{2}+100$$

Since \frac{19}{2} and \frac{512}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-512}{2}+100$$

Subtract 512 from 19 to get -493.

$$-\frac{493}{2}+100$$

Convert 100 to fraction \frac{200}{2}.

$$-\frac{493}{2}+\frac{200}{2}$$

Since -\frac{493}{2} and \frac{200}{2} have the same denominator, add them by adding their numerators.

$$\frac{-493+200}{2}$$

Add -493 and 200 to get -293.

$$-\frac{293}{2}$$

Factor

$$-\frac{293}{2} = -146\frac{1}{2} = -146.5$$