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Popular >

simplify 5e^{-0.4(6)}

Solution

simplify

5 e^{- 0.4 (6)}

Solution

0.45358 \dots

Solution steps

5 e^{- 0.4 (6)}

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{6 \cdot 0.4}}

Multiply the numbers:

0.4 \cdot 6 = 2.4

= 5 \cdot \frac{1}{e ^{2.4}}

Multiply fractions:

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

= \frac{1 \cdot 5}{e ^{2.4}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5}{e ^{2.4}}

e^{2.4} = 11.02317 \dots

= \frac{5}{11.02317 \dots}

Divide the numbers:

\frac{5}{11.02317 \dots} = 0.45358 \dots

= 0.45358 \dots

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Frequently Asked Questions (FAQ)

What is 5e^{-0.4(6)} ?
The solution to 5e^{-0.4(6)} is 0.45358…