Solve 1/2*9.6*10^-4*48^2+1/2*2.4*10^-4*48^2

$$\frac { 1 } { 2 } \times 9.6 \times 10 ^ { - 4 } \times 48 ^ { 2 } + \frac { 1 } { 2 } \times 2.4 \times 10 ^ { - 4 } \times 48 ^ { 2 }$$

Evaluate

$$1.3824$$

Solution Steps

Multiply \frac{1}{2} and 9.6 to get \frac{24}{5}.

$$\frac{24}{5}\times 10^{-4}\times 48^{2}+\frac{1}{2}\times 2.4\times 10^{-4}\times 48^{2}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{24}{5}\times \frac{1}{10000}\times 48^{2}+\frac{1}{2}\times 2.4\times 10^{-4}\times 48^{2}$$

Multiply \frac{24}{5} and \frac{1}{10000} to get \frac{3}{6250}.

$$\frac{3}{6250}\times 48^{2}+\frac{1}{2}\times 2.4\times 10^{-4}\times 48^{2}$$

Calculate 48 to the power of 2 and get 2304.

$$\frac{3}{6250}\times 2304+\frac{1}{2}\times 2.4\times 10^{-4}\times 48^{2}$$

Multiply \frac{3}{6250} and 2304 to get \frac{3456}{3125}.

$$\frac{3456}{3125}+\frac{1}{2}\times 2.4\times 10^{-4}\times 48^{2}$$

Multiply \frac{1}{2} and 2.4 to get \frac{6}{5}.

$$\frac{3456}{3125}+\frac{6}{5}\times 10^{-4}\times 48^{2}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{3456}{3125}+\frac{6}{5}\times \frac{1}{10000}\times 48^{2}$$

Multiply \frac{6}{5} and \frac{1}{10000} to get \frac{3}{25000}.

$$\frac{3456}{3125}+\frac{3}{25000}\times 48^{2}$$

Calculate 48 to the power of 2 and get 2304.

$$\frac{3456}{3125}+\frac{3}{25000}\times 2304$$

Multiply \frac{3}{25000} and 2304 to get \frac{864}{3125}.

$$\frac{3456}{3125}+\frac{864}{3125}$$

Add \frac{3456}{3125} and \frac{864}{3125} to get \frac{864}{625}.

$$\frac{864}{625}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {3}}{5 ^ {4}} = 1\frac{239}{625} = 1.3824$$