What is (s^2)/((s^2+a^2)^2) ?

The solution to (s^2)/((s^2+a^2)^2) is (s^2)/((s^2+a^2)^2)

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simplify (s^2)/((s^2+a^2)^2)

simplify

\frac{s ^{2}}{( s ^{2} + a ^{2} ) ^{2}}

\frac{s ^{2}}{( s ^{2} + a ^{2} ) ^{2}}

Solution steps

\frac{s ^{2}}{( s ^{2} + a ^{2} ) ^{2}}

Apply exponent rule:

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

\frac{s ^{2}}{( s ^{2} + a ^{2} ) ^{2}} = (\frac{s}{s ^{2} + a ^{2}})^{2}

= (\frac{s}{s ^{2} + a ^{2}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{s ^{2}}{( s ^{2} + a ^{2} ) ^{2}}

(3 x 1 0^{5}) x (1.8 x 1 0^{- 3})

(1.8 \cdot 1 0^{1}) (7 \cdot 1 0^{5})

(e^{- t}) (e^{t})

- 60.656 \cdot e^{- 0.0892 \cdot 5}

e^{- 3 t} sin (t)

What is (s^2)/((s^2+a^2)^2) ?
The solution to (s^2)/((s^2+a^2)^2) is (s^2)/((s^2+a^2)^2)