What is 100000*e^{-0.16*1.5} ?

The solution to 100000*e^{-0.16*1.5} is 78662.78610…

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simplify 100000e^{-0.161.5}

simplify

100000 \cdot e^{- 0.16 \cdot 1.5}

78662.78610 \dots

Solution steps

100000 e^{- 0.16 \cdot 1.5}

Apply exponent rule:

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

= 100000 \cdot \frac{1}{e ^{0.16 \cdot 1.5}}

Multiply the numbers:

0.16 \cdot 1.5 = 0.24

= 100000 \cdot \frac{1}{e ^{0.24}}

Multiply fractions:

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

= \frac{1 \cdot 100000}{e ^{0.24}}

Multiply the numbers:

1 \cdot 100000 = 100000

= \frac{100000}{e ^{0.24}}

e^{0.24} = 1.27124 \dots

= \frac{100000}{1.27124 \dots}

Divide the numbers:

\frac{100000}{1.27124 \dots} = 78662.78610 \dots

= 78662.78610 \dots

19.3 \cdot 330 \cdot 1 0^{- 3}

(2.5 x 1 0^{3}) (3.3 x 1 0^{3})

4 y^{2} (6 y^{7})

2.6 \cdot 1 0^{- 12}

2 e^{- 2 x} (2)

What is 100000*e^{-0.16*1.5} ?
The solution to 100000*e^{-0.16*1.5} is 78662.78610…