Solve 150+80-90*2:7*150^3

$$150 + 80 - 90 \times 2 : 7 \times 150 ^ { 3 }$$

Evaluate

$$-\frac{607498390}{7}\approx -86785484.285714286$$

Solution Steps

Add 150 and 80 to get 230.

$$230-\frac{90\times 2}{7}\times 150^{3}$$

Multiply 90 and 2 to get 180.

$$230-\frac{180}{7}\times 150^{3}$$

Calculate 150 to the power of 3 and get 3375000.

$$230-\frac{180}{7}\times 3375000$$

Express \frac{180}{7}\times 3375000 as a single fraction.

$$230-\frac{180\times 3375000}{7}$$

Multiply 180 and 3375000 to get 607500000.

$$230-\frac{607500000}{7}$$

Convert 230 to fraction \frac{1610}{7}.

$$\frac{1610}{7}-\frac{607500000}{7}$$

Since \frac{1610}{7} and \frac{607500000}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1610-607500000}{7}$$

Subtract 607500000 from 1610 to get -607498390.

$$-\frac{607498390}{7}$$

Factor

$$-\frac{607498390}{7} = -86785484\frac{2}{7} = -86785484.28571428$$