What is (2e^{2x}-2)e^{-2x} ?

The solution to (2e^{2x}-2)e^{-2x} is (2e^{2x}-2)/(e^{2x)}

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simplify (2e^{2x}-2)e^{-2x}

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

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

3.25 \cdot 1 0^{- 9}

\frac{5}{7 x}

(4 - 2 (- 2)) e^{- 2}

What is (2e^{2x}-2)e^{-2x} ?
The solution to (2e^{2x}-2)e^{-2x} is (2e^{2x}-2)/(e^{2x)}