What is 1382.4e^{-4.8(0.3)} ?

The solution to 1382.4e^{-4.8(0.3)} is 327.52893…

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simplify 1382.4e^{-4.8(0.3)}

simplify

1382.4 e^{- 4.8 (0.3)}

327.52893 \dots

Solution steps

1382.4 e^{- 4.8 (0.3)}

Apply exponent rule:

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

= 1382.4 \cdot \frac{1}{e ^{0.3 \cdot 4.8}}

Multiply the numbers:

4.8 \cdot 0.3 = 1.44

= 1382.4 \cdot \frac{1}{e ^{1.44}}

Multiply fractions:

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

= \frac{1 \cdot 1382.4}{e ^{1.44}}

Multiply the numbers:

1 \cdot 1382.4 = 1382.4

= \frac{1382.4}{e ^{1.44}}

e^{1.44} = 4.22069 \dots

= \frac{1382.4}{4.22069 \dots}

Divide the numbers:

\frac{1382.4}{4.22069 \dots} = 327.52893 \dots

= 327.52893 \dots

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