What is 68e^{-180*(6.61*10^{-3})} ?

The solution to 68e^{-180*(6.61*10^{-3})} is 20.69118…

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simplify 68e^{-180(6.6110^{-3})}

simplify

68 e^{- 180 \cdot (6.61 \cdot 1 0^{- 3})}

20.69118 \dots

Solution steps

68 e^{- 180 (6.61 \cdot 1 0^{- 3})}

Apply exponent rule:

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

= 68 \cdot \frac{1}{e ^{1 0^{- 3} \cdot 180 \cdot 6.61}}

\frac{1}{e ^{180 \cdot 6.61 \cdot 1 0^{- 3}}} = \frac{1}{e ^{1.1898}}

= 68 \cdot \frac{1}{e ^{1.1898}}

Multiply fractions:

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

= \frac{1 \cdot 68}{e ^{1.1898}}

Multiply the numbers:

1 \cdot 68 = 68

= \frac{68}{e ^{1.1898}}

e^{1.1898} = 3.28642 \dots

= \frac{68}{3.28642 \dots}

Divide the numbers:

\frac{68}{3.28642 \dots} = 20.69118 \dots

= 20.69118 \dots

5.03 \cdot (1 0^{3})^{2}

e^{- 2 t} (sin^{2} (4 t) + cos (8 t))

3 (a)^{2} (3 b)

(p - 1)^{2} (q - 1)^{2}

What is 68e^{-180*(6.61*10^{-3})} ?
The solution to 68e^{-180*(6.61*10^{-3})} is 20.69118…