What is 8500e^{-0.3(10)} ?

The solution to 8500e^{-0.3(10)} is (8500)/(e^3)

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simplify 8500e^{-0.3(10)}

simplify

8500 e^{- 0.3 (10)}

\frac{8500}{e ^{3}}

Decimal Notation

423.19008 \dots

Solution steps

8500 e^{- 0.3 (10)}

Apply exponent rule:

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

= 8500 \cdot \frac{1}{e ^{10 \cdot 0.3}}

Multiply the numbers:

0.3 \cdot 10 = 3

= 8500 \cdot \frac{1}{e ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 8500}{e ^{3}}

Multiply the numbers:

1 \cdot 8500 = 8500

= \frac{8500}{e ^{3}}

6.4 x 1 0^{- 4}

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

x^{3} \cdot y^{3} \cdot z^{3}

1 \cdot e^{- (0.2295189) (151)}