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Popular >

simplify 2e^{-1/2}*2x

Solution

simplify

2 e^{- \frac{1}{2}} \cdot 2 x

Solution

\frac{4 x}{e ^{\frac{1}{2}}}

Solution steps

2 e^{- \frac{1}{2}} \cdot 2 x

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

e^{- \frac{1}{2}} = \frac{1}{e ^{\frac{1}{2}}}

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

Multiply fractions:

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

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

Refine

= \frac{4 x}{e ^{\frac{1}{2}}}

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Frequently Asked Questions (FAQ)

What is 2e^{-1/2}*2x ?
The solution to 2e^{-1/2}*2x is (4x)/(e^{1/2)}