Solve (26*300*5.46*10^-3-28.6*10^4*300^-2)

$$(26 \times 300 \times 5.46 \times { 10 }^{ -3 } -28.6 \times { 10 }^{ 4 } \times { 300 }^{ -2 } )$$

Evaluate

$$\frac{88673}{2250}\approx 39.410222222$$

Solution Steps

Multiply 26 and 300 to get 7800.

$$7800\times 5.46\times 10^{-3}-28.6\times 10^{4}\times 300^{-2}$$

Multiply 7800 and 5.46 to get 42588.

$$42588\times 10^{-3}-28.6\times 10^{4}\times 300^{-2}$$

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

$$42588\times \frac{1}{1000}-28.6\times 10^{4}\times 300^{-2}$$

Multiply 42588 and \frac{1}{1000} to get \frac{10647}{250}.

$$\frac{10647}{250}-28.6\times 10^{4}\times 300^{-2}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{10647}{250}-28.6\times 10000\times 300^{-2}$$

Multiply 28.6 and 10000 to get 286000.

$$\frac{10647}{250}-286000\times 300^{-2}$$

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

$$\frac{10647}{250}-286000\times \frac{1}{90000}$$

Multiply 286000 and \frac{1}{90000} to get \frac{143}{45}.

$$\frac{10647}{250}-\frac{143}{45}$$

Subtract \frac{143}{45} from \frac{10647}{250} to get \frac{88673}{2250}.

$$\frac{88673}{2250}$$

Factor

$$\frac{13 \cdot 19 \cdot 359}{2 \cdot 3 ^ {2} \cdot 5 ^ {3}} = 39\frac{923}{2250} = 39.410222222222224$$