What is 8500e^{-0.3(5)} ?

The solution to 8500e^{-0.3(5)} is 1896.60636…

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simplify 8500e^{-0.3(5)}

simplify

8500 e^{- 0.3 (5)}

1896.60636 \dots

Solution steps

8500 e^{- 0.3 (5)}

Apply exponent rule:

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

= 8500 \cdot \frac{1}{e ^{5 \cdot 0.3}}

Multiply the numbers:

0.3 \cdot 5 = 1.5

= 8500 \cdot \frac{1}{e ^{1.5}}

Multiply fractions:

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

= \frac{1 \cdot 8500}{e ^{1.5}}

Multiply the numbers:

1 \cdot 8500 = 8500

= \frac{8500}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{8500}{4.48168 \dots}

Divide the numbers:

\frac{8500}{4.48168 \dots} = 1896.60636 \dots

= 1896.60636 \dots

e u l e r^{10}

e^{- 3 t} \frac{5}{s ^{2} + 16}

7 x^{5} (4 x^{4})

0.9 \cdot 1 0^{- 5}