What is 34.416e^{-0.18(6)} ?

The solution to 34.416e^{-0.18(6)} is 11.68751…

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simplify 34.416e^{-0.18(6)}

simplify

34.416 e^{- 0.18 (6)}

11.68751 \dots

Solution steps

34.416 e^{- 0.18 (6)}

Apply exponent rule:

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

= 34.416 \cdot \frac{1}{e ^{6 \cdot 0.18}}

Multiply the numbers:

0.18 \cdot 6 = 1.08

= 34.416 \cdot \frac{1}{e ^{1.08}}

Multiply fractions:

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

= \frac{1 \cdot 34.416}{e ^{1.08}}

Multiply the numbers:

1 \cdot 34.416 = 34.416

= \frac{34.416}{e ^{1.08}}

e^{1.08} = 2.94467 \dots

= \frac{34.416}{2.94467 \dots}

Divide the numbers:

\frac{34.416}{2.94467 \dots} = 11.68751 \dots

= 11.68751 \dots

2 x + 2 x^{2} - 1

e^{- 4.75318}

34.416 e^{- 0.18 (1)}

2 e^{2 x} \times e^{2 x}

34.416 e^{- 0.18 (0)}