What is 30e^{-0.3(2)} ?

The solution to 30e^{-0.3(2)} is 16.46434…

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simplify 30e^{-0.3(2)}

simplify

30 e^{- 0.3 (2)}

16.46434 \dots

Solution steps

30 e^{- 0.3 (2)}

Apply exponent rule:

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

= 30 \cdot \frac{1}{e ^{2 \cdot 0.3}}

Multiply the numbers:

0.3 \cdot 2 = 0.6

= 30 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 30}{e ^{0.6}}

Multiply the numbers:

1 \cdot 30 = 30

= \frac{30}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{30}{1.82211 \dots}

Divide the numbers:

\frac{30}{1.82211 \dots} = 16.46434 \dots

= 16.46434 \dots

(x - a)^{2} (x - b)^{2}

(4.48 \cdot 1 0^{- 23}) (6.02214 \cdot 1 0^{23})

\frac{1}{3} \cdot 3.14 \cdot 1 4^{2} \cdot 14

4 x^{3 a} y^{2} \cdot (\frac{3}{8} x^{a} y^{3})