2.
[tex]\left(\sqrt[3]{x^5}\right)^4=\left(x^{\frac{5}{3}}\right)^4\\\\=x^{\frac{5}{3}\cdot 4}=\bf{x^{\frac{20}{3}}}[/tex]
3. The polynomial has 4 terms.
The degree of the polynomial is that of the largest sum of degrees of the variables in any term. That sum is 3+1=4 in the second term. The degree of this polynomial is 4.
4. f(g(x)) = g(x)² +1 = (2x-3)² +1
... f(g(x)) = 4x² -12x +10
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Of course, you're familiar with the square: (a+b)² = a² +2ab +b² so you have no problem finding the result when a=2x, b=-3.
