What is 60e^{-0.0051*135.9} ?

The solution to 60e^{-0.0051*135.9} is 30.00171…

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simplify 60e^{-0.0051*135.9}

simplify

60 e^{- 0.0051 \cdot 135.9}

30.00171 \dots

Solution steps

60 e^{- 0.0051 \cdot 135.9}

Apply exponent rule:

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

= 60 \cdot \frac{1}{e ^{0.0051 \cdot 135.9}}

Multiply the numbers:

0.0051 \cdot 135.9 = 0.69309

= 60 \cdot \frac{1}{e ^{0.69309}}

Multiply fractions:

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

= \frac{1 \cdot 60}{e ^{0.69309}}

Multiply the numbers:

1 \cdot 60 = 60

= \frac{60}{e ^{0.69309}}

e^{0.69309} = 1.99988 \dots

= \frac{60}{1.99988 \dots}

Divide the numbers:

\frac{60}{1.99988 \dots} = 30.00171 \dots

= 30.00171 \dots

\frac{- 135}{27}

4.4 \cdot 1 0^{- 5}

30 e^{- 0.3 (2)}

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