What is 6.4e^{-0.4(5)} ?

The solution to 6.4e^{-0.4(5)} is 0.86614…

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simplify 6.4e^{-0.4(5)}

simplify

6.4 e^{- 0.4 (5)}

0.86614 \dots

Solution steps

6.4 e^{- 0.4 (5)}

Apply exponent rule:

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

= 6.4 \cdot \frac{1}{e ^{5 \cdot 0.4}}

Multiply the numbers:

0.4 \cdot 5 = 2

= 6.4 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 6.4}{e ^{2}}

Multiply the numbers:

1 \cdot 6.4 = 6.4

= \frac{6.4}{e ^{2}}

Convert element to a decimal form

e^{2} = 7.38905 \dots

= \frac{6.4}{7.38905 \dots}

Divide the numbers:

\frac{6.4}{7.38905 \dots} = 0.86614 \dots

= 0.86614 \dots

e^{- e^{- y}}

4 e^{4 x} \cdot e^{4 x}

11 7^{- l o g_{117} (6)}

e^{(- \frac{0.292}{0.0001})}

(- 1)^{- 0.5}