Solve x=50{e}^-frac{200{250}div(9)}

$$x = 50 { e }^{ - \frac{ 200 }{ 250 } \div (9) }$$

Solve for x

$$x=\frac{50}{e^{\frac{4}{45}}}\approx 45.747361437$$

Solution Steps

Reduce the fraction \frac{200}{250} to lowest terms by extracting and canceling out 50.

$$x=50e^{\frac{-\frac{4}{5}}{9}}$$

Express \frac{-\frac{4}{5}}{9} as a single fraction.

$$x=50e^{\frac{-4}{5\times 9}}$$

Multiply 5 and 9 to get 45.

$$x=50e^{\frac{-4}{45}}$$

Fraction \frac{-4}{45} can be rewritten as -\frac{4}{45} by extracting the negative sign.

$$x=50e^{-\frac{4}{45}}$$

Assign x

$$x≔\frac{50}{e^{\frac{4}{45}}}$$