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Popular >

simplify e^{-2ln|400-4t|}

Solution

simplify

e^{- 2 l n ∣ 400 - 4 t ∣}

Solution

\frac{1}{( - 4 t + 400 ) ^{2}}

Solution steps

e^{- 2 l n ∣ 400 - 4 t ∣}

Apply exponent rule:

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

= \frac{1}{e ^{2 l n ∣ - 4 t + 400 ∣}}

e^{2 l n ∣ 400 - 4 t ∣} = (400 - 4 t)^{2}

= \frac{1}{( 400 - 4 t ) ^{2}}

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Frequently Asked Questions (FAQ)

What is e^{-2ln|400-4t|} ?
The solution to e^{-2ln|400-4t|} is 1/((-4t+400)^2)