What is 50*e^{(-0.75(6))} ?

The solution to 50*e^{(-0.75(6))} is 0.55544…

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simplify 50*e^{(-0.75(6))}

simplify

50 \cdot e^{(- 0.75 (6))}

0.55544 \dots

Solution steps

50 e^{(- 0.75 (6))}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{6 \cdot 0.75}}

Multiply the numbers:

0.75 \cdot 6 = 4.5

= 50 \cdot \frac{1}{e ^{4.5}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{4.5}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{4.5}}

e^{4.5} = 90.01713 \dots

= \frac{50}{90.01713 \dots}

Divide the numbers:

\frac{50}{90.01713 \dots} = 0.55544 \dots

= 0.55544 \dots

4 \frac{316}{3}^{- 2} \cdot 3

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2.2 \cdot 1 0^{- 10}