simplify 50e^{-3/2}

Solution

simplify

50 e^{- \frac{3}{2}}

\frac{50}{e ^{\frac{3}{2}}}

Decimal Notation

11.15650 \dots

Solution steps

50 e^{- \frac{3}{2}}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{\frac{3}{2}}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{\frac{3}{2}}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{\frac{3}{2}}}

1.92544 \cdot 1 0^{- 2}

4.311 \cdot 1 0^{- 4}

5.9286 \cdot 1 0^{- 9} \cdot 46.13

c^{6} H^{11} O^{6}