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Popular >

simplify 0.5t^2e^{-0.6t}

Solution

simplify

0.5 t^{2} e^{- 0.6 t}

Solution

\frac{0.5 t ^{2}}{e ^{0.6 t}}

Solution steps

0.5 t^{2} e^{- 0.6 t}

Apply exponent rule:

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

= 0.5 \cdot \frac{1}{e ^{0.6 t}} t^{2}

Multiply fractions:

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

= 0.5 \cdot \frac{1 \cdot t ^{2}}{e ^{0.6 t}}

Multiply:

1 \cdot t^{2} = t^{2}

= 0.5 \cdot \frac{t ^{2}}{e ^{0.6 t}}

Multiply fractions:

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

= \frac{t ^{2} \cdot 0.5}{e ^{0.6 t}}

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Frequently Asked Questions (FAQ)

What is 0.5t^2e^{-0.6t} ?
The solution to 0.5t^2e^{-0.6t} is (0.5t^2)/(e^{0.6t)}