What is 50e^{-0.05268*2} ?

The solution to 50e^{-0.05268*2} is 45.00002…

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simplify 50e^{-0.05268*2}

simplify

50 e^{- 0.05268 \cdot 2}

45.00002 \dots

Solution steps

50 e^{- 0.05268 \cdot 2}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{2 \cdot 0.05268}}

Multiply the numbers:

0.05268 \cdot 2 = 0.10536

= 50 \cdot \frac{1}{e ^{0.10536}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{0.10536}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{0.10536}}

e^{0.10536} = 1.11111 \dots

= \frac{50}{1.11111 \dots}

Divide the numbers:

\frac{50}{1.11111 \dots} = 45.00002 \dots

= 45.00002 \dots

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