Solve (26*300*546*10^-3-286*10^4*300^-2)

$$(26 \times 300 \times 546 \times { 10 }^{ -3 } -286 \times { 10 }^{ 4 } \times { 300 }^{ -2 } )$$

Evaluate

$$\frac{190216}{45}\approx 4227.022222222$$

Solution Steps

Multiply 26 and 300 to get 7800.

$$7800\times 546\times 10^{-3}-286\times 10^{4}\times 300^{-2}$$

Multiply 7800 and 546 to get 4258800.

$$4258800\times 10^{-3}-286\times 10^{4}\times 300^{-2}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$4258800\times \frac{1}{1000}-286\times 10^{4}\times 300^{-2}$$

Multiply 4258800 and \frac{1}{1000} to get \frac{21294}{5}.

$$\frac{21294}{5}-286\times 10^{4}\times 300^{-2}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{21294}{5}-286\times 10000\times 300^{-2}$$

Multiply 286 and 10000 to get 2860000.

$$\frac{21294}{5}-2860000\times 300^{-2}$$

Calculate 300 to the power of -2 and get \frac{1}{90000}.

$$\frac{21294}{5}-2860000\times \frac{1}{90000}$$

Multiply 2860000 and \frac{1}{90000} to get \frac{286}{9}.

$$\frac{21294}{5}-\frac{286}{9}$$

Subtract \frac{286}{9} from \frac{21294}{5} to get \frac{190216}{45}.

$$\frac{190216}{45}$$

Factor

$$\frac{2 ^ {3} \cdot 13 \cdot 31 \cdot 59}{3 ^ {2} \cdot 5} = 4227\frac{1}{45} = 4227.022222222222$$