What is 50e^{-0.525(10)} ?

The solution to 50e^{-0.525(10)} is 0.26237…

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simplify 50e^{-0.525(10)}

simplify

50 e^{- 0.525 (10)}

0.26237 \dots

Solution steps

50 e^{- 0.525 (10)}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{10 \cdot 0.525}}

Multiply the numbers:

0.525 \cdot 10 = 5.25

= 50 \cdot \frac{1}{e ^{5.25}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{5.25}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{5.25}}

e^{5.25} = 190.56626 \dots

= \frac{50}{190.56626 \dots}

Divide the numbers:

\frac{50}{190.56626 \dots} = 0.26237 \dots

= 0.26237 \dots

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