What is 1.3e^{-0.3(3.8)} ?

The solution to 1.3e^{-0.3(3.8)} is 0.41576…

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simplify 1.3e^{-0.3(3.8)}

simplify

1.3 e^{- 0.3 (3.8)}

0.41576 \dots

Solution steps

1.3 e^{- 0.3 (3.8)}

Apply exponent rule:

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

= 1.3 \cdot \frac{1}{e ^{0.3 \cdot 3.8}}

Multiply the numbers:

0.3 \cdot 3.8 = 1.14

= 1.3 \cdot \frac{1}{e ^{1.14}}

Multiply fractions:

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

= \frac{1 \cdot 1.3}{e ^{1.14}}

Multiply the numbers:

1 \cdot 1.3 = 1.3

= \frac{1.3}{e ^{1.14}}

e^{1.14} = 3.12676 \dots

= \frac{1.3}{3.12676 \dots}

Divide the numbers:

\frac{1.3}{3.12676 \dots} = 0.41576 \dots

= 0.41576 \dots

3.3 \cdot 1 0^{- 2}

\frac{x}{5}

x^{2} e^{x}

3.1 \cdot 1 0^{- 11}