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

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

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

simplify

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

2

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 2 x} e^{2 x} = e^{- 2 x + 2 x}

= 2 e^{- 2 x + 2 x}

Add similar elements:

- 2 x + 2 x = 0

= 2 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

60 \cdot 2.136 \cdot 1 0^{- 2}

(3 x^{6} y^{5}) (5 x^{2} y^{3})

1.58 \cdot 1 0^{- 8}

(0.25 4) \cdot 3