What is 1.58e^{-0.213(3)} ?

The solution to 1.58e^{-0.213(3)} is 0.83395…

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simplify 1.58e^{-0.213(3)}

simplify

1.58 e^{- 0.213 (3)}

0.83395 \dots

Solution steps

1.58 e^{- 0.213 (3)}

Apply exponent rule:

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

= 1.58 \cdot \frac{1}{e ^{3 \cdot 0.213}}

Multiply the numbers:

0.213 \cdot 3 = 0.639

= 1.58 \cdot \frac{1}{e ^{0.639}}

Multiply fractions:

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

= \frac{1 \cdot 1.58}{e ^{0.639}}

Multiply the numbers:

1 \cdot 1.58 = 1.58

= \frac{1.58}{e ^{0.639}}

e^{0.639} = 1.89458 \dots

= \frac{1.58}{1.89458 \dots}

Divide the numbers:

\frac{1.58}{1.89458 \dots} = 0.83395 \dots

= 0.83395 \dots

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a^{3}