What is e^{-(1.5x)/(12*10^{-3)}}*cos^2(1.424x) ?

The solution to e^{-(1.5x)/(12*10^{-3)}}*cos^2(1.424x) is (cos^2(1.424x))/(e^{125x)}

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simplify e^{-(1.5x)/(1210^{-3)}}cos^2(1.424x)

simplify

e^{- \frac{1.5 x}{12 \cdot 1 0 ^{- 3}}} \cdot cos^{2} (1.424 x)

\frac{cos ^{2} ( 1.424 x )}{e ^{125 x}}

Solution steps

e^{- \frac{1.5 x}{12 \cdot 1 0 ^{- 3}}} cos^{2} (1.424 x)

Apply exponent rule:

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

= \frac{1}{e ^{\frac{1.5 x}{1 0 ^{- 3} \cdot 12}}} cos^{2} (1.424 x)

\frac{1}{e ^{\frac{1.5 x}{12 \cdot 1 0 ^{- 3}}}} = \frac{1}{e ^{125 x}}

= \frac{1}{e ^{125 x}} cos^{2} (1.424 x)

Multiply fractions:

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

= \frac{1 \cdot cos ^{2} ( 1.424 x )}{e ^{125 x}}

Multiply:

1 \cdot cos^{2} (1.424 x) = cos^{2} (1.424 x)

= \frac{cos ^{2} ( 1.424 x )}{e ^{125 x}}

32 x^{3} x

e^{(- 4 t)} [sin (2 t) - cos (2 t)]^{2}

e^{- \frac{0}{0}}

e^{- 10 x} e^{- 10 x}

900 e^{(- 2.4849 \cdot 1)}

What is e^{-(1.5x)/(12*10^{-3)}}*cos^2(1.424x) ?
The solution to e^{-(1.5x)/(12*10^{-3)}}*cos^2(1.424x) is (cos^2(1.424x))/(e^{125x)}