simplify 5te^{-5t}

Solution

simplify

5 t e^{- 5 t}

\frac{5 t}{e ^{5 t}}

Solution steps

5 t e^{- 5 t}

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{5 t}} t

Multiply fractions:

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

= \frac{1 \cdot 5 t}{e ^{5 t}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5 t}{e ^{5 t}}

(e^{\frac{1}{2} x})^{2}

(4 x - 5 y^{2})^{2} (4 x + 5 y^{2})^{2}

95 (0.84)^{- 6}

e^{- 2 l n (\frac{1}{2})}

4 x^{2} (3 x)