What is 3e^{9/3}(e^{-4}) ?

The solution to 3e^{9/3}(e^{-4}) is 3/e

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simplify 3e^{9/3}(e^{-4})

simplify

3 e^{\frac{9}{3}} (e^{- 4})

\frac{3}{e}

Decimal Notation

1.10363 \dots

Solution steps

3 e^{\frac{9}{3}} (e^{- 4})

Apply exponent rule:

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

= 3 e^{\frac{9}{3}} \frac{1}{e ^{4}}

Divide the numbers:

\frac{9}{3} = 3

= 3 e^{3} \frac{1}{e ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 3 e ^{3}}{e ^{4}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 e ^{3}}{e ^{4}}

Apply exponent rule:

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

\frac{e ^{3}}{e ^{4}} = \frac{1}{e ^{4 - 3}}

= \frac{3}{e ^{4 - 3}}

Subtract the numbers:

4 - 3 = 1

= \frac{3}{e}

e^{- t} \cdot e^{- t}

re a l es 5

0.017 \cdot 1 0^{- 3}

4.0027 \cdot 1 0^{- 4}