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Popular >

simplify e^x*e^{-x}y

Solution

simplify

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

Solution

y

Solution steps

e^{x} e^{- x} y

Apply exponent rule:

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

e^{x} e^{- x} = e^{x - x}

= e^{x - x} y

Add similar elements:

x - x = 0

= e^{0} y

Apply rule

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

e^{0} = 1

= 1 \cdot y

Multiply:

1 \cdot y = y

= y

Popular Examples

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6.78 \cdot 1 0^{- 7}

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131 (0.87)^{- 8}

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6.67 \cdot 6 \cdot 1 0^{- 6}

simplify (sqrt(23))/(sqrt(5))simplify

\frac{23}{5}

simplify 0.0021ms^{-2}simplify

0.0021 m s^{- 2}

Frequently Asked Questions (FAQ)

What is e^x*e^{-x}y ?
The solution to e^x*e^{-x}y is y