What is a/b cos^2(a)e^{-(a^2)/(b^2)} ?

The solution to a/b cos^2(a)e^{-(a^2)/(b^2)} is (acos^2(a))/(e^{\frac{a^2){b^2}}b}

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simplify a/b cos^2(a)e^{-(a^2)/(b^2)}

simplify

\frac{a}{b} cos^{2} (a) e^{- \frac{a ^{2}}{b ^{2}}}

\frac{a cos ^{2} ( a )}{e ^{\frac{a ^{2}}{b ^{2}}} b}

Solution steps

\frac{a}{b} cos^{2} (a) e^{- \frac{a ^{2}}{b ^{2}}}

Apply exponent rule:

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

= \frac{a}{b} \cdot \frac{1}{e ^{\frac{a ^{2}}{b ^{2}}}} cos^{2} (a)

Multiply fractions:

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

= \frac{a \cdot 1 \cdot cos ^{2} ( a )}{b e ^{\frac{a ^{2}}{b ^{2}}}}

Multiply:

1 \cdot cos^{2} (a) = cos^{2} (a)

= \frac{a cos ^{2} ( a )}{e ^{\frac{a ^{2}}{b ^{2}}} b}

4.55 \cdot 1 0^{- 1}

200 e^{- 41}

e^{t} \cdot 1^{- 1}

\frac{5}{23}

8.7 \cdot 10 \cdot 1 0^{- 3}

What is a/b cos^2(a)e^{-(a^2)/(b^2)} ?
The solution to a/b cos^2(a)e^{-(a^2)/(b^2)} is (acos^2(a))/(e^{\frac{a^2){b^2}}b}