What is [0.4+2.1(0.5)]e^{-5(0.5)} ?

The solution to [0.4+2.1(0.5)]e^{-5(0.5)} is 0.11902…

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simplify [0.4+2.1(0.5)]e^{-5(0.5)}

simplify

[0.4 + 2.1 (0.5)] e^{- 5 (0.5)}

0.11902 \dots

Solution steps

[0.4 + 2.1 (0.5)] e^{- 5 (0.5)}

Apply exponent rule:

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

= \frac{1}{e ^{5 \cdot 0.5}} [0.4 + 0.5 \cdot 2.1]

Multiply the numbers:

2.1 \cdot 0.5 = 1.05

= \frac{1}{e ^{5 \cdot 0.5}} (0.4 + 1.05)

Multiply the numbers:

5 \cdot 0.5 = 2.5

= \frac{1}{e ^{2.5}} (0.4 + 1.05)

Add the numbers:

0.4 + 1.05 = 1.45

= 1.45 \cdot \frac{1}{e ^{2.5}}

Multiply fractions:

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

= \frac{1 \cdot 1.45}{e ^{2.5}}

Multiply the numbers:

1 \cdot 1.45 = 1.45

= \frac{1.45}{e ^{2.5}}

e^{2.5} = 12.18249 \dots

= \frac{1.45}{12.18249 \dots}

Divide the numbers:

\frac{1.45}{12.18249 \dots} = 0.11902 \dots

= 0.11902 \dots

5.415 \cdot 1 0^{- 3} (1720069.17)

3^{2 m} (3 x^{m})

e^{- l n (2 - y)}

(e^{(- 120)}) \cdot ((12 0^{3}))

6 \cdot 2.712 8^{- 6}

What is [0.4+2.1(0.5)]e^{-5(0.5)} ?
The solution to [0.4+2.1(0.5)]e^{-5(0.5)} is 0.11902…