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

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

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

simplify

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

2 e^{t - 2}

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

Apply exponent rule:

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

\frac{e ^{t}}{e ^{2}} = e^{t - 2}

= 2 e^{t - 2}

(x^{2} y^{3}) (x^{4} y^{7})

27 (2.043 \cdot 1 0^{- 7})

((3^{2})^{2})^{3}

- 45 (4.7 \cdot 1 0^{- 3})

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