3 Multiple Choice 10 points Simplify the expression below using rational exponents in simplest form: \( \sqrt[6]{64 x^{4} y^{2}} \) \( 2 x^{2} y^{4} \) \( 2 x^{24} y^{12} \) \( 2 x^{(3 / 2)} y^{3} \) \( 2 x^{(2 / 3)} v^{(1 / 3)} \)

\( 2 ( x + 5 ) \cdot 7 = 3 ( x - 2 ) \quad \{ x - 3 , x = 3 , x = 1 \)

9. Show that (i) \( \binom{n+2}{2}-\binom{n}{2}=n+\frac{1}{2} \) Solution:

7. Show that the set F of the six complex valued functions: \( f_{1}(z)=z, f_{2}(z)=\frac{1}{1-z}, f_{3}(z)=\frac{z-1}{z} \) \( f_{4}(z)=\frac{1}{z}, f_{5}(z)=1-z, f_{6}(z)=\frac{z}{z-1} \) is a group under the usual multiplication of mappings.

Find the factar of \( x^{5}+x^{4}-13 x^{3}-13 x^{2}+36 x+36 \) of list three farturs.

\( 4(y+3)-2(x+2)=14 \quad \) Solve using subutitution \( 4(y-2)+3(x-3)=2 \quad \) methed