What is 9999e^{-0.99(9)} ?

The solution to 9999e^{-0.99(9)} is 1.35018…

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simplify 9999e^{-0.99(9)}

simplify

9999 e^{- 0.99 (9)}

1.35018 \dots

Solution steps

9999 e^{- 0.99 (9)}

Apply exponent rule:

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

= 9999 \cdot \frac{1}{e ^{9 \cdot 0.99}}

Multiply the numbers:

0.99 \cdot 9 = 8.91

= 9999 \cdot \frac{1}{e ^{8.91}}

Multiply fractions:

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

= \frac{1 \cdot 9999}{e ^{8.91}}

Multiply the numbers:

1 \cdot 9999 = 9999

= \frac{9999}{e ^{8.91}}

e^{8.91} = 7405.66109 \dots

= \frac{9999}{7405.66109 \dots}

Divide the numbers:

\frac{9999}{7405.66109 \dots} = 1.35018 \dots

= 1.35018 \dots

(t^{3} - 3 t + 2) e^{(- 2 t)}

6000 (1 + 0.03)^{(- 8)}

6.02 \cdot 1 0^{- 23}

e^{8} \cdot e^{- 6}