What is 1/a e^{-(2/3 (-3)^2)} ?

The solution to 1/a e^{-(2/3 (-3)^2)} is 1/(e^6a)

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simplify 1/a e^{-(2/3 (-3)^2)}

simplify

\frac{1}{a} e^{- (\frac{2}{3} (- 3)^{2})}

\frac{1}{e ^{6} a}

Solution steps

\frac{1}{a} e^{- (\frac{2}{3} (- 3)^{2})}

Apply exponent rule:

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

= \frac{1}{e ^{(- 3)^{2} \frac{2}{3}}} \cdot \frac{1}{a}

\frac{1}{e ^{\frac{2}{3} (- 3)^{2}}} = \frac{1}{e ^{6}}

= \frac{1}{e ^{6}} \cdot \frac{1}{a}

Multiply fractions:

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

= \frac{1 \cdot 1}{a e ^{6}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{e ^{6} a}

2.05 \cdot 85 0^{- 0.18}

e^{2 t} e^{2 t}

e^{- \frac{2}{3} (\frac{2}{3})}

(x^{2} - 1 - x^{2})^{4} (x^{2} + 1 - x^{2})^{4}

11 p^{10}

What is 1/a e^{-(2/3 (-3)^2)} ?
The solution to 1/a e^{-(2/3 (-3)^2)} is 1/(e^6a)