What is (0.5)5e^{-0.5x} ?

The solution to (0.5)5e^{-0.5x} is (2.5)/(e^{0.5x)}

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simplify (0.5)5e^{-0.5x}

simplify

(0.5) 5 e^{- 0.5 x}

\frac{2.5}{e ^{0.5 x}}

Solution steps

(0.5) \cdot 5 e^{- 0.5 x}

Apply exponent rule:

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

= 5 \cdot 0.5 \cdot \frac{1}{e ^{0.5 x}}

Multiply fractions:

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

= 0.5 \cdot \frac{1 \cdot 5}{e ^{0.5 x}}

Multiply the numbers:

1 \cdot 5 = 5

= 0.5 \cdot \frac{5}{e ^{0.5 x}}

Multiply fractions:

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

= \frac{5 \cdot 0.5}{e ^{0.5 x}}

Multiply the numbers:

5 \cdot 0.5 = 2.5

= \frac{2.5}{e ^{0.5 x}}

5.7207100000000 \dots \cdot 1 0^{- 4}

e^{- 3 (l n (x))}

1.26 \cdot 1 0^{- 3}

5 e^{(2 t)} \cdot 5 e^{(5 t)}

(8 x^{3}) \cdot (2 x)