What is 2.93e^{(-1.8(3))} ?

The solution to 2.93e^{(-1.8(3))} is 0.01323…

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simplify 2.93e^{(-1.8(3))}

simplify

2.93 e^{(- 1.8 (3))}

0.01323 \dots

Solution steps

2.93 e^{(- 1.8 (3))}

Apply exponent rule:

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

= 2.93 \cdot \frac{1}{e ^{3 \cdot 1.8}}

Multiply the numbers:

1.8 \cdot 3 = 5.4

= 2.93 \cdot \frac{1}{e ^{5.4}}

Multiply fractions:

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

= \frac{1 \cdot 2.93}{e ^{5.4}}

Multiply the numbers:

1 \cdot 2.93 = 2.93

= \frac{2.93}{e ^{5.4}}

e^{5.4} = 221.40641 \dots

= \frac{2.93}{221.40641 \dots}

Divide the numbers:

\frac{2.93}{221.40641 \dots} = 0.01323 \dots

= 0.01323 \dots

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