Solve 3/2-78510^63*14left(110^-3right)^2/2*1*9*8

$$\frac{ 3 }{ 2 } - \frac{ 785 { 10 }^{ 6 } 3 \cdot 14 { \left(1 { 10 }^{ -3 } \right) }^{ 2 } }{ 2 \cdot 1 \cdot 9 \cdot 8 }$$

Evaluate

$$-\frac{5459}{24}\approx -227.458333333$$

Solution Steps

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{3}{2}-\frac{7\times 785\times 10^{6}\times \left(10^{-3}\right)^{2}}{3\times 8}$$

To raise a power to another power, multiply the exponents. Multiply -3 and 2 to get -6.

$$\frac{3}{2}-\frac{7\times 785\times 10^{6}\times 10^{-6}}{3\times 8}$$

Multiply 10^{6} and 10^{-6} to get 1.

$$\frac{3}{2}-\frac{7\times 785}{3\times 8}$$

Multiply 7 and 785 to get 5495.

$$\frac{3}{2}-\frac{5495}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$\frac{3}{2}-\frac{5495}{24}$$

Subtract \frac{5495}{24} from \frac{3}{2} to get -\frac{5459}{24}.

$$-\frac{5459}{24}$$

Factor

$$-\frac{5459}{24} = -227\frac{11}{24} = -227.45833333333334$$