Evaluate Using the Given Value f(4)=70e^(-0.4(4))+30

$f (4) = 70 e^{- 0.4 (4)} + 30$

Step 1

Multiply $- 0.4$ by $4$ .

$f (4) = 70 e^{- 1.6} + 30$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$f (4) = 70 (\frac{1}{e^{1.6}}) + 30$

Step 3

Combine $70$ and $\frac{1}{e^{1.6}}$ .

$f (4) = \frac{70}{e^{1.6}} + 30$