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Popular >

simplify e^{-10t}(t+5)^2

Solution

simplify

e^{- 10 t} (t + 5)^{2}

Solution

\frac{( t + 5 ) ^{2}}{e ^{10 t}}

Solution steps

e^{- 10 t} (t + 5)^{2}

Apply exponent rule:

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

= \frac{1}{e ^{10 t}} (t + 5)^{2}

Multiply fractions:

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

= \frac{1 \cdot ( t + 5 ) ^{2}}{e ^{10 t}}

Multiply:

1 \cdot (t + 5)^{2} = (t + 5)^{2}

= \frac{( t + 5 ) ^{2}}{e ^{10 t}}

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Frequently Asked Questions (FAQ)

What is e^{-10t}(t+5)^2 ?
The solution to e^{-10t}(t+5)^2 is ((t+5)^2)/(e^{10t)}