What is 0.23(0.5)e^{-0.4(0.5)} ?

The solution to 0.23(0.5)e^{-0.4(0.5)} is 0.09415…

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simplify 0.23(0.5)e^{-0.4(0.5)}

simplify

0.23 (0.5) e^{- 0.4 (0.5)}

0.09415 \dots

Solution steps

0.23 (0.5) e^{- 0.4 (0.5)}

Apply exponent rule:

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

= 0.23 \cdot 0.5 \cdot \frac{1}{e ^{0.4 \cdot 0.5}}

Multiply the numbers:

0.4 \cdot 0.5 = 0.2

= 0.23 \cdot 0.5 \cdot \frac{1}{e ^{0.2}}

Multiply the numbers:

0.23 \cdot 0.5 = 0.115

= 0.115 \cdot \frac{1}{e ^{0.2}}

Multiply fractions:

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

= \frac{1 \cdot 0.115}{e ^{0.2}}

Multiply the numbers:

1 \cdot 0.115 = 0.115

= \frac{0.115}{e ^{0.2}}

e^{0.2} = 1.22140 \dots

= \frac{0.115}{1.22140 \dots}

Divide the numbers:

\frac{0.115}{1.22140 \dots} = 0.09415 \dots

= 0.09415 \dots

9 2^{2}

42 \cdot 4

What is 0.23(0.5)e^{-0.4(0.5)} ?
The solution to 0.23(0.5)e^{-0.4(0.5)} is 0.09415…