What is 8e^{-t/(0.5)} ?

The solution to 8e^{-t/(0.5)} is 8/(e^{\frac{t){0.5}}}

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simplify 8e^{-t/(0.5)}

simplify

8 e^{- \frac{t}{0.5}}

\frac{8}{e ^{\frac{t}{0.5}}}

Solution steps

8 e^{- \frac{t}{0.5}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 8 \cdot \frac{1}{e ^{\frac{t}{0.5}}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 8}{e ^{\frac{t}{0.5}}}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8}{e ^{\frac{t}{0.5}}}

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