What is 320e^{-3.1(0.6)} ?

The solution to 320e^{-3.1(0.6)} is 49.81524…

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simplify 320e^{-3.1(0.6)}

simplify

320 e^{- 3.1 (0.6)}

49.81524 \dots

Solution steps

320 e^{- 3.1 (0.6)}

Apply exponent rule:

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

= 320 \cdot \frac{1}{e ^{0.6 \cdot 3.1}}

Multiply the numbers:

3.1 \cdot 0.6 = 1.86

= 320 \cdot \frac{1}{e ^{1.86}}

Multiply fractions:

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

= \frac{1 \cdot 320}{e ^{1.86}}

Multiply the numbers:

1 \cdot 320 = 320

= \frac{320}{e ^{1.86}}

e^{1.86} = 6.42373 \dots

= \frac{320}{6.42373 \dots}

Divide the numbers:

\frac{320}{6.42373 \dots} = 49.81524 \dots

= 49.81524 \dots

(\frac{1.2}{3})^{- 4} \cdot 4

4.1 \cdot 1 0^{- 7}

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

e^{- \frac{13}{5}}

8000 \cdot 1 0^{- 9} (9.8)