Pre-Algebra Examples

$t (x) = - 22 + 38 e^{- 0.04 \cdot 20}$

Step 1

Rewrite the function as an equation.

$y = - 22 + 38 e^{- 0.04 \cdot 20}$

Step 2

Simplify each term.

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Step 2.1

Multiply $- 0.04$ by $20$ .

$y = - 22 + 38 e^{- 0.8}$

Step 2.2

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

$y = - 22 + 38 \frac{1}{e^{0.8}}$

Step 2.3

Combine $38$ and $\frac{1}{e^{0.8}}$ .

$y = - 22 + \frac{38}{e^{0.8}}$