What is 100e^{(-0.035(10))} ?

The solution to 100e^{(-0.035(10))} is 70.46880…

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simplify 100e^{(-0.035(10))}

simplify

100 e^{(- 0.035 (10))}

70.46880 \dots

Solution steps

100 e^{(- 0.035 (10))}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{10 \cdot 0.035}}

Multiply the numbers:

0.035 \cdot 10 = 0.35

= 100 \cdot \frac{1}{e ^{0.35}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.35}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.35}}

e^{0.35} = 1.41906 \dots

= \frac{100}{1.41906 \dots}

Divide the numbers:

\frac{100}{1.41906 \dots} = 70.46880 \dots

= 70.46880 \dots

\frac{x ^{2}}{( 5 + 2 x ^{3} ) ^{2}}

(x + 2)^{2} \cdot x^{2}

(72) (33)

(8 x^{2}) (4 x^{2})

7.243 \times 1 0^{- 5}