What is 70e^{-0.4(3)} ?

The solution to 70e^{-0.4(3)} is 21.08359…

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simplify 70e^{-0.4(3)}

simplify

70 e^{- 0.4 (3)}

21.08359 \dots

Solution steps

70 e^{- 0.4 (3)}

Apply exponent rule:

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

= 70 \cdot \frac{1}{e ^{3 \cdot 0.4}}

Multiply the numbers:

0.4 \cdot 3 = 1.2

= 70 \cdot \frac{1}{e ^{1.2}}

Multiply fractions:

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

= \frac{1 \cdot 70}{e ^{1.2}}

Multiply the numbers:

1 \cdot 70 = 70

= \frac{70}{e ^{1.2}}

e^{1.2} = 3.32011 \dots

= \frac{70}{3.32011 \dots}

Divide the numbers:

\frac{70}{3.32011 \dots} = 21.08359 \dots

= 21.08359 \dots

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