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Popular >

simplify x^0e^{-at}

Solution

simplify

x^{0} \cdot e^{- a \cdot t}

Solution

\frac{1}{e ^{a t}}

Solution steps

x^{0} e^{- a t}

Apply exponent rule:

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

= \frac{1}{e ^{a t}} x^{0}

Apply rule

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

x^{0} = 1

= 1 \cdot \frac{1}{e ^{a t}}

Multiply:

1 \cdot \frac{1}{e ^{a t}} = \frac{1}{e ^{a t}}

= \frac{1}{e ^{a t}}

Popular Examples

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- 2500 (0.4 \cdot 1 0^{- 3})

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\frac{2 7 ^{2}}{π ^{2}} \cdot \frac{( 25 - 27 )}{2}

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5 e^{5 x} \cdot x e^{5 x}

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1 0^{- 1.5} \cdot 800

Frequently Asked Questions (FAQ)

What is x^0*e^{-a*t} ?
The solution to x^0*e^{-a*t} is 1/(e^{at)}