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Popular >

simplify e^{-2t}(t^3+1)^2

Solution

simplify

e^{- 2 t} (t^{3} + 1)^{2}

Solution

\frac{( t ^{3} + 1 ) ^{2}}{e ^{2 t}}

Solution steps

e^{- 2 t} (t^{3} + 1)^{2}

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} (t^{3} + 1)^{2}

Multiply fractions:

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

= \frac{1 \cdot ( t ^{3} + 1 ) ^{2}}{e ^{2 t}}

Multiply:

1 \cdot (t^{3} + 1)^{2} = (t^{3} + 1)^{2}

= \frac{( t ^{3} + 1 ) ^{2}}{e ^{2 t}}

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Frequently Asked Questions (FAQ)

What is e^{-2t}(t^3+1)^2 ?
The solution to e^{-2t}(t^3+1)^2 is ((t^3+1)^2)/(e^{2t)}