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Popular >

simplify 4200e^{-0.047}

Solution

simplify

4200 e^{- 0.047}

Solution

4007.16706 \dots

Solution steps

4200 e^{- 0.047}

Apply exponent rule:

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

= 4200 \cdot \frac{1}{e ^{0.047}}

Multiply fractions:

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

= \frac{1 \cdot 4200}{e ^{0.047}}

Multiply the numbers:

1 \cdot 4200 = 4200

= \frac{4200}{e ^{0.047}}

e^{0.047} = 1.04812 \dots

= \frac{4200}{1.04812 \dots}

Divide the numbers:

\frac{4200}{1.04812 \dots} = 4007.16706 \dots

= 4007.16706 \dots

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Frequently Asked Questions (FAQ)

What is 4200e^{-0.047} ?
The solution to 4200e^{-0.047} is 4007.16706…