What is 3(1.35)e^{-2.802(3)} ?

The solution to 3(1.35)e^{-2.802(3)} is 0.00090…

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simplify 3(1.35)e^{-2.802(3)}

simplify

3 (1.35) e^{- 2.802 (3)}

0.00090 \dots

Solution steps

3 (1.35) e^{- 2.802 (3)}

Apply exponent rule:

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

= 3 \cdot 1.35 \cdot \frac{1}{e ^{3 \cdot 2.802}}

Multiply the numbers:

2.802 \cdot 3 = 8.406

= 3 \cdot 1.35 \cdot \frac{1}{e ^{8.406}}

Multiply fractions:

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

= 1.35 \cdot \frac{1 \cdot 3}{e ^{8.406}}

\frac{1 \cdot 3}{e ^{8.406}} = 0.00067 \dots

= 0.00067 \dots \cdot 1.35

Multiply the numbers:

1.35 \cdot 0.00067 \dots = 0.00090 \dots

= 0.00090 \dots

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