simplify 3^2*e^{-3}

Solution

simplify

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

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

Decimal Notation

0.44808 \dots

Solution steps

3^{2} e^{- 3}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot 3^{2} = 3^{2}

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

3^{2} = 9

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

e^{- \frac{1}{5} = \frac{- 1}{5 b}}

(3^{x} \cdot 3^{-} y)^{- 2}

h (t - a) e^{- b t} cos^{2} (t - a)

e^{- (l n (x + 1) + x)}