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Popular >

simplify e^{-4t}(t^2+1)^2

Solution

simplify

e^{- 4 t} (t^{2} + 1)^{2}

Solution

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

Solution steps

e^{- 4 t} (t^{2} + 1)^{2}

Apply exponent rule:

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

= \frac{1}{e ^{4 t}} (t^{2} + 1)^{2}

Multiply fractions:

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

= \frac{1 \cdot ( t ^{2} + 1 ) ^{2}}{e ^{4 t}}

Multiply:

1 \cdot (t^{2} + 1)^{2} = (t^{2} + 1)^{2}

= \frac{( t ^{2} + 1 ) ^{2}}{e ^{4 t}}

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Frequently Asked Questions (FAQ)

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