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20.3
a
$$ \begin{split} & 4x^4 -3x^2 + 2 \\ & 16x^3 -6x \end{split} $$
e
$$ \begin{split} x^2 -5x^3 +1 \\ 2x -15x^2 +1 \end{split} $$
20.5
a
$$ \begin{split} \sqrt{3}{x} \\ x^{\frac{1}{3}} \\ \frac{1}{2} x ^ {-\frac{2}{3}} \end{split} $$
e
$$ \begin{split} x^2 \sqrt{5}{x^2} \\ x^2 x ^ {\frac{2}{5}} \\ x^ {\frac{12}{5}} \\ \frac{12}{5} x ^ {\frac{7}{5}} \end{split} $$
20.6
a
$$ \begin{split} \sqrt{7}{x^2} \\ x ^ {\frac{2}{7}} \\ \frac{2}{7} \\ \frac{2}{7} x ^ {-\frac{5}{7}} \end{split} $$
b
$$ \begin{split} \sqrt{3x^3} \\ 3^{\frac{1}{2}} \cdot (x3)^{\frac{1}{2}} \\ 3^{\frac{1}{2}} \cdot x^{\frac{3}{2}} \\ \frac{3}{2} \sqrt{3} x ^ {\frac{1}{2}} \end{split} $$
20.9
e
$$ \begin{split} \frac{1}{x\sqrt{3}{x}} \\ 1 \cdot \frac{1}{ (x \sqrt{3}{x}) ^ 1 } \\ 1 \cdot (x \sqrt{3}{x}) ^ -1 \\ 1 \cdot x^{-1} \cdot \sqrt{3}{x} ^ -1 \\ x^{-1} \cdot (x^{\frac{1}{3}}) ^ -1 \\ x^{-1 \cdot x^{-\frac{1}{3}} \\ x^{-\frac{4}{3}} \\ -\frac{4}{3} x^{-\frac{7}{3}} \end{split} $$