What is 4e^{-0.08(31)} ?

The solution to 4e^{-0.08(31)} is 0.33497…

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simplify 4e^{-0.08(31)}

simplify

4 e^{- 0.08 (31)}

0.33497 \dots

Solution steps

4 e^{- 0.08 (31)}

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{31 \cdot 0.08}}

Multiply the numbers:

0.08 \cdot 31 = 2.48

= 4 \cdot \frac{1}{e ^{2.48}}

Multiply fractions:

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

= \frac{1 \cdot 4}{e ^{2.48}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{e ^{2.48}}

e^{2.48} = 11.94126 \dots

= \frac{4}{11.94126 \dots}

Divide the numbers:

\frac{4}{11.94126 \dots} = 0.33497 \dots

= 0.33497 \dots

e^{x} \cdot e^{h}

(7 x^{2}) (8 x)

(x y)^{\frac{8}{9}}

\frac{( x + y ) ^{2}}{( x - z ) ^{2}}