What is 750e^{-0.5*3} ?

The solution to 750e^{-0.5*3} is 167.34762…

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simplify 750e^{-0.5*3}

simplify

750 e^{- 0.5 \cdot 3}

167.34762 \dots

Solution steps

750 e^{- 0.5 \cdot 3}

Apply exponent rule:

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

= 750 \cdot \frac{1}{e ^{3 \cdot 0.5}}

Multiply the numbers:

0.5 \cdot 3 = 1.5

= 750 \cdot \frac{1}{e ^{1.5}}

Multiply fractions:

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

= \frac{1 \cdot 750}{e ^{1.5}}

Multiply the numbers:

1 \cdot 750 = 750

= \frac{750}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{750}{4.48168 \dots}

Divide the numbers:

\frac{750}{4.48168 \dots} = 167.34762 \dots

= 167.34762 \dots

28 e^{- 0.05 (253)}

47.5 (10)^{- 9}

0.000000364 \cdot 1 0^{- 6}

1.433 \cdot 1 0^{- 3}

2 a^{6} b^{3} (6 a^{8} c^{3})