What is 320e^{-3.1(0.5)} ?

The solution to 320e^{-3.1(0.5)} is 67.91935…

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simplify 320e^{-3.1(0.5)}

simplify

320 e^{- 3.1 (0.5)}

67.91935 \dots

Solution steps

320 e^{- 3.1 (0.5)}

Apply exponent rule:

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

= 320 \cdot \frac{1}{e ^{0.5 \cdot 3.1}}

Multiply the numbers:

3.1 \cdot 0.5 = 1.55

= 320 \cdot \frac{1}{e ^{1.55}}

Multiply fractions:

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

= \frac{1 \cdot 320}{e ^{1.55}}

Multiply the numbers:

1 \cdot 320 = 320

= \frac{320}{e ^{1.55}}

e^{1.55} = 4.71147 \dots

= \frac{320}{4.71147 \dots}

Divide the numbers:

\frac{320}{4.71147 \dots} = 67.91935 \dots

= 67.91935 \dots

(3 x^{4} y^{6}) (8 x^{5} y^{5})

3^{2 x + 1}

(3 x^{4} y^{2}) (5 x^{2} y^{2})

(x^{4} y^{2}) (x y^{8})

- e^{- a t} t sinh (t b)