What is 1.35(1)e^{-2.802(1)} ?

The solution to 1.35(1)e^{-2.802(1)} is 0.08192…

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simplify 1.35(1)e^{-2.802(1)}

simplify

1.35 (1) e^{- 2.802 (1)}

0.08192 \dots

Solution steps

1.35 (1) e^{- 2.802 (1)}

Apply exponent rule:

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

= 1 \cdot 1.35 \cdot \frac{1}{e ^{1 \cdot 2.802}}

Multiply the numbers:

2.802 \cdot 1 = 2.802

= 1 \cdot 1.35 \cdot \frac{1}{e ^{2.802}}

Multiply the numbers:

1.35 \cdot 1 = 1.35

= 1.35 \cdot \frac{1}{e ^{2.802}}

Multiply fractions:

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

= \frac{1 \cdot 1.35}{e ^{2.802}}

Multiply the numbers:

1 \cdot 1.35 = 1.35

= \frac{1.35}{e ^{2.802}}

e^{2.802} = 16.47756 \dots

= \frac{1.35}{16.47756 \dots}

Divide the numbers:

\frac{1.35}{16.47756 \dots} = 0.08192 \dots

= 0.08192 \dots

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