simplify 1.5e^{-2}

Solution

simplify

1.5 e^{- 2}

0.20300 \dots

Solution steps

1.5 e^{- 2}

Apply exponent rule:

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

= 1.5 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 1.5}{e ^{2}}

Multiply the numbers:

1 \cdot 1.5 = 1.5

= \frac{1.5}{e ^{2}}

Convert element to a decimal form

e^{2} = 7.38905 \dots

= \frac{1.5}{7.38905 \dots}

Divide the numbers:

\frac{1.5}{7.38905 \dots} = 0.20300 \dots

= 0.20300 \dots

- 1 0^{- 1} \cdot (2.1)

e^{- 2 x} e^{x}

- 4 p^{3} q^{3} (5 p q^{4})