What is 50e^{-0.15(7)} ?

The solution to 50e^{-0.15(7)} is 17.49688…

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simplify 50e^{-0.15(7)}

simplify

50 e^{- 0.15 (7)}

17.49688 \dots

Solution steps

50 e^{- 0.15 (7)}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{7 \cdot 0.15}}

Multiply the numbers:

0.15 \cdot 7 = 1.05

= 50 \cdot \frac{1}{e ^{1.05}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{1.05}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{1.05}}

e^{1.05} = 2.85765 \dots

= \frac{50}{2.85765 \dots}

Divide the numbers:

\frac{50}{2.85765 \dots} = 17.49688 \dots

= 17.49688 \dots

(1 - x)^{\frac{1}{2}} (x)^{\frac{1}{2}}

20 e^{- 2 x} \cdot 80 e^{- 2 x}

49900 \cdot e^{- 300000}

4.91 \cdot 1 0^{- 9}

- 2 (0.5)^{- 3}