What is 7e^{(-0.4*9)} ?

The solution to 7e^{(-0.4*9)} is 0.19126…

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simplify 7e^{(-0.4*9)}

simplify

7 e^{(- 0.4 \cdot 9)}

0.19126 \dots

Solution steps

7 e^{(- 0.4 \cdot 9)}

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{9 \cdot 0.4}}

Multiply the numbers:

0.4 \cdot 9 = 3.6

= 7 \cdot \frac{1}{e ^{3.6}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{3.6}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{3.6}}

e^{3.6} = 36.59823 \dots

= \frac{7}{36.59823 \dots}

Divide the numbers:

\frac{7}{36.59823 \dots} = 0.19126 \dots

= 0.19126 \dots

22.41667 \cdot 1.8 \cdot 1 0^{- 5} \cdot 1

(1.5 \cdot 1 0^{7}) (32 \cdot 1 0^{6})

e^{- 2 l n (c o s (7 x))}

\frac{9 ^{x}}{3 ^{x}} d x