What is 30e^{-0.3(1)} ?

The solution to 30e^{-0.3(1)} is 22.22454…

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simplify 30e^{-0.3(1)}

simplify

30 e^{- 0.3 (1)}

22.22454 \dots

Solution steps

30 e^{- 0.3 (1)}

Apply exponent rule:

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

= 30 \cdot \frac{1}{e ^{1 \cdot 0.3}}

Multiply the numbers:

0.3 \cdot 1 = 0.3

= 30 \cdot \frac{1}{e ^{0.3}}

Multiply fractions:

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

= \frac{1 \cdot 30}{e ^{0.3}}

Multiply the numbers:

1 \cdot 30 = 30

= \frac{30}{e ^{0.3}}

e^{0.3} = 1.34985 \dots

= \frac{30}{1.34985 \dots}

Divide the numbers:

\frac{30}{1.34985 \dots} = 22.22454 \dots

= 22.22454 \dots

60 e^{- 0.0051 \cdot 135.9}

\frac{- 135}{27}

4.4 \cdot 1 0^{- 5}

30 e^{- 0.3 (2)}