Solve 4*14*4*e^-19/6*63e^-24

$$\frac { 4 \cdot 14 \cdot 4 \cdot e ^ { - 19 } } { 6 \cdot 63 e ^ { - 24 } }$$

Evaluate

$$\frac{16e^{5}}{27}\approx 87.948538727$$

Solution Steps

Cancel out 2\times 7 in both numerator and denominator.

$$\frac{2\times 2\times 4e^{-19}}{3\times 9e^{-24}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{2\times 2\times 4e^{5}}{3\times 9}$$

Multiply 2 and 2 to get 4.

$$\frac{4\times 4e^{5}}{3\times 9}$$

Multiply 4 and 4 to get 16.

$$\frac{16e^{5}}{3\times 9}$$

Multiply 3 and 9 to get 27.

$$\frac{16e^{5}}{27}$$