What is 70e^{-0.14727(5)} ?

The solution to 70e^{-0.14727(5)} is 33.52009…

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simplify 70e^{-0.14727(5)}

simplify

70 e^{- 0.14727 (5)}

33.52009 \dots

Solution steps

70 e^{- 0.14727 (5)}

Apply exponent rule:

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

= 70 \cdot \frac{1}{e ^{5 \cdot 0.14727}}

Multiply the numbers:

0.14727 \cdot 5 = 0.73635

= 70 \cdot \frac{1}{e ^{0.73635}}

Multiply fractions:

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

= \frac{1 \cdot 70}{e ^{0.73635}}

Multiply the numbers:

1 \cdot 70 = 70

= \frac{70}{e ^{0.73635}}

e^{0.73635} = 2.08829 \dots

= \frac{70}{2.08829 \dots}

Divide the numbers:

\frac{70}{2.08829 \dots} = 33.52009 \dots

= 33.52009 \dots

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