What is 50e^{-0.045(4)} ?

The solution to 50e^{-0.045(4)} is 41.76351…

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simplify 50e^{-0.045(4)}

simplify

50 e^{- 0.045 (4)}

41.76351 \dots

Solution steps

50 e^{- 0.045 (4)}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{4 \cdot 0.045}}

Multiply the numbers:

0.045 \cdot 4 = 0.18

= 50 \cdot \frac{1}{e ^{0.18}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{0.18}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{0.18}}

e^{0.18} = 1.19721 \dots

= \frac{50}{1.19721 \dots}

Divide the numbers:

\frac{50}{1.19721 \dots} = 41.76351 \dots

= 41.76351 \dots

(e^{3 x})^{4}

6.76 \cdot 1 0^{- 9}

(5 x^{4}) (6 x^{7})

5.91 \cdot 1 0^{- 7}

5 e^{- 0.6 (2)}