What is e^{-10x^2}*cos(2x) ?

The solution to e^{-10x^2}*cos(2x) is (cos(2x))/(e^{10x^2)}

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simplify e^{-10x^2}*cos(2x)

simplify

e^{- 10 x^{2}} \cdot cos (2 x)

\frac{cos ( 2 x )}{e ^{10 x^{2}}}

Solution steps

e^{- 10 x^{2}} cos (2 x)

Apply exponent rule:

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

= \frac{1}{e ^{10 x^{2}}} cos (2 x)

Multiply fractions:

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

= \frac{1 \cdot cos ( 2 x )}{e ^{10 x^{2}}}

Multiply:

1 \cdot cos (2 x) = cos (2 x)

= \frac{cos ( 2 x )}{e ^{10 x^{2}}}

(2.7 \cdot 1 0^{4}) (3.5 \cdot 1 0^{3})

(3 x^{2} y^{3}) (2 x^{5} y^{8})

e^{- 3 x} sin (x)

(a^{\frac{1}{2}} + b^{\frac{1}{2}})^{3} \cdot (a^{\frac{1}{2}} - b^{\frac{1}{2}})^{3}

(((2 x^{2})^{3})^{- 4})^{- 1}

What is e^{-10x^2}*cos(2x) ?
The solution to e^{-10x^2}*cos(2x) is (cos(2x))/(e^{10x^2)}