What is 1600e^{-0.01(5)} ?

The solution to 1600e^{-0.01(5)} is 1521.96707…

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simplify 1600e^{-0.01(5)}

simplify

1600 e^{- 0.01 (5)}

1521.96707 \dots

Solution steps

1600 e^{- 0.01 (5)}

Apply exponent rule:

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

= 1600 \cdot \frac{1}{e ^{5 \cdot 0.01}}

Multiply the numbers:

0.01 \cdot 5 = 0.05

= 1600 \cdot \frac{1}{e ^{0.05}}

Multiply fractions:

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

= \frac{1 \cdot 1600}{e ^{0.05}}

Multiply the numbers:

1 \cdot 1600 = 1600

= \frac{1600}{e ^{0.05}}

e^{0.05} = 1.05127 \dots

= \frac{1600}{1.05127 \dots}

Divide the numbers:

\frac{1600}{1.05127 \dots} = 1521.96707 \dots

= 1521.96707 \dots

\frac{x - 1}{x + 3}

9 x d x e x^{6}

(- 2) (- 2)

1500 e^{- 0.25 t}