What is (x^2)/((2+3x^2)^2) ?

The solution to (x^2)/((2+3x^2)^2) is (x^2)/((3x^2+2)^2)

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simplify (x^2)/((2+3x^2)^2)

simplify

\frac{x ^{2}}{( 2 + 3 x ^{2} ) ^{2}}

\frac{x ^{2}}{( 3 x ^{2} + 2 ) ^{2}}

Solution steps

\frac{x ^{2}}{( 2 + 3 x ^{2} ) ^{2}}

Apply exponent rule:

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

\frac{x ^{2}}{( 2 + 3 x ^{2} ) ^{2}} = (\frac{x}{2 + 3 x ^{2}})^{2}

= (\frac{x}{2 + 3 x ^{2}})^{2}

Apply exponent rule:

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

= \frac{x ^{2}}{( 2 + 3 x ^{2} ) ^{2}}

(m^{3} p^{6}) (m^{2} p^{3})

(6.2 \cdot 1 0^{50}) (3 \cdot 1 0^{35})

e^{- j (\frac{π}{3})} e^{jb z}

3.3 \cdot 1 0^{- 5}

(\frac{3 b ^{2} c ^{3}}{5 b ^{- 3} c ^{- 4}})^{- 4^{^{'}}}

What is (x^2)/((2+3x^2)^2) ?
The solution to (x^2)/((2+3x^2)^2) is (x^2)/((3x^2+2)^2)