What is 140e^{-0.4(6)} ?

The solution to 140e^{-0.4(6)} is 12.70051…

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simplify 140e^{-0.4(6)}

simplify

140 e^{- 0.4 (6)}

12.70051 \dots

Solution steps

140 e^{- 0.4 (6)}

Apply exponent rule:

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

= 140 \cdot \frac{1}{e ^{6 \cdot 0.4}}

Multiply the numbers:

0.4 \cdot 6 = 2.4

= 140 \cdot \frac{1}{e ^{2.4}}

Multiply fractions:

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

= \frac{1 \cdot 140}{e ^{2.4}}

Multiply the numbers:

1 \cdot 140 = 140

= \frac{140}{e ^{2.4}}

e^{2.4} = 11.02317 \dots

= \frac{140}{11.02317 \dots}

Divide the numbers:

\frac{140}{11.02317 \dots} = 12.70051 \dots

= 12.70051 \dots

\frac{72 y ^{2 n}}{3} (9^{0}) (2 y^{n + 2})^{- 1}

e^{- \frac{410}{400}}

(0.5) (6.644 \cdot 1 0^{- 27}) (2697170.37928)^{2}

\frac{6}{11}