What is e^{-t^2}(-9t^2e^{t^2}) ?

The solution to e^{-t^2}(-9t^2e^{t^2}) is -9t^2

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simplify e^{-t^2}(-9t^2e^{t^2})

simplify

e^{- t^{2}} (- 9 t^{2} e^{t^{2}})

- 9 t^{2}

Solution steps

e^{- t^{2}} (- 9 t^{2} e^{t^{2}})

Apply exponent rule:

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

= \frac{1}{e ^{t^{2}}} (- 9 e^{t^{2}} t^{2})

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{t^{2}}} \cdot 9 t^{2} e^{t^{2}}

Multiply fractions:

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

= - \frac{1 \cdot 9 t ^{2} e ^{t^{2}}}{e ^{t^{2}}}

Cancel the common factor:

e^{t^{2}}

= - 1 \cdot 9 t^{2}

Multiply the numbers:

1 \cdot 9 = 9

= - 9 t^{2}

5.34 \cdot 1 0^{- 3}

5.34 \cdot 1 0^{- 2}

(x - 11)^{2} (x + 11)^{2}

f^{- 1} (7 \cdot 2 - 3)

x \cdot x x = 1

What is e^{-t^2}(-9t^2e^{t^2}) ?
The solution to e^{-t^2}(-9t^2e^{t^2}) is -9t^2