What is 800e^{-0.0245(30)} ?

The solution to 800e^{-0.0245(30)} is 383.60436…

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simplify 800e^{-0.0245(30)}

simplify

800 e^{- 0.0245 (30)}

383.60436 \dots

Solution steps

800 e^{- 0.0245 (30)}

Apply exponent rule:

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

= 800 \cdot \frac{1}{e ^{30 \cdot 0.0245}}

Multiply the numbers:

0.0245 \cdot 30 = 0.735

= 800 \cdot \frac{1}{e ^{0.735}}

Multiply fractions:

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

= \frac{1 \cdot 800}{e ^{0.735}}

Multiply the numbers:

1 \cdot 800 = 800

= \frac{800}{e ^{0.735}}

e^{0.735} = 2.08548 \dots

= \frac{800}{2.08548 \dots}

Divide the numbers:

\frac{800}{2.08548 \dots} = 383.60436 \dots

= 383.60436 \dots

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