What is 100*e^{-0.0105*12} ?

The solution to 100*e^{-0.0105*12} is 88.16148…

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simplify 100e^{-0.010512}

simplify

100 \cdot e^{- 0.0105 \cdot 12}

88.16148 \dots

Solution steps

100 e^{- 0.0105 \cdot 12}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{12 \cdot 0.0105}}

Multiply the numbers:

0.0105 \cdot 12 = 0.126

= 100 \cdot \frac{1}{e ^{0.126}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.126}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.126}}

e^{0.126} = 1.13428 \dots

= \frac{100}{1.13428 \dots}

Divide the numbers:

\frac{100}{1.13428 \dots} = 88.16148 \dots

= 88.16148 \dots

- 1 \cdot e^{x^{- 2}} \cdot e^{x}

L^{10} e^{(- 4)}

109.5 e^{- 0.0135}

0.0393 \cdot 1 0^{- 2}

6.2 x 1 0^{- 1}