simplify e^{-3}*9/2

Solution

simplify

e^{- 3} \cdot \frac{9}{2}

\frac{9}{2 e ^{3}}

Decimal Notation

0.22404 \dots

Solution steps

e^{- 3} \frac{9}{2}

Apply exponent rule:

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

= \frac{9}{2} \cdot \frac{1}{e ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 9}{e ^{3} \cdot 2}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{9}{2 e ^{3}}

2000 \cdot 2^{- 0.75}

4 (3.1416) (\frac{1}{36 ( 3.1416 )} \cdot 1 0^{- 9}) (218)

7.82 \cdot 1 0^{- 7}

e^{- 2 t} \cdot (- e^{- 6 t})

(4.98 \cdot 1 0^{- 3}) (0.024) (0.0923)