Solve (1/2*3000*2.7^8)/3500=

$$\frac { ( \frac { 1 } { 2 } \times 3000 \times 2.7 ^ { 8 } ) } { 3500 } =$$

Evaluate

$$\frac{847288609443}{700000000}\approx 1210.412299204$$

Solution Steps

Multiply \frac{1}{2} and 3000 to get \frac{3000}{2}.

$$\frac{\frac{3000}{2}\times 2.7^{8}}{3500}$$

Divide 3000 by 2 to get 1500.

$$\frac{1500\times 2.7^{8}}{3500}$$

Calculate 2.7 to the power of 8 and get 2824.29536481.

$$\frac{1500\times 2824.29536481}{3500}$$

Multiply 1500 and 2824.29536481 to get 4236443.047215.

$$\frac{4236443.047215}{3500}$$

Expand \frac{4236443.047215}{3500} by multiplying both numerator and the denominator by 1000000.

$$\frac{4236443047215}{3500000000}$$

Reduce the fraction \frac{4236443047215}{3500000000} to lowest terms by extracting and canceling out 5.

$$\frac{847288609443}{700000000}$$

Factor

$$\frac{3 ^ {25}}{7 \cdot 2 ^ {8} \cdot 5 ^ {8}} = 1210\frac{288609443}{700000000} = 1210.4122992042858$$