What is 6e^{-3x}*(e^x-1) ?

The solution to 6e^{-3x}*(e^x-1) is (6(e^x-1))/(e^{3x)}

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simplify 6e^{-3x}*(e^x-1)

simplify

6 e^{- 3 x} \cdot (e^{x} - 1)

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

Solution steps

6 e^{- 3 x} (e^{x} - 1)

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 6 = 6

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

e^{4} \cdot e^{5}

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

(x \cdot 2 x) \cdot (2 x)

- e^{- 3 t} (e^{- t})

4 e^{- 0.2 (1)}

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