4. Apply the exponent rule as appropriate. a) $8^{2} \cdot 8^{5}$ b) $y^{3} \cdot y$ c) $4^{2} \cdot 3^{5}$ d) $3^{2}+3^{3}$ e) $3 p^{5} .9 p^{4}$ f) $\left(3 a^{2} b^{3} ight)^{3}$ g) $\left(\frac{5 a^{2} b^{3}}{c^{2}} ight)^{3}$ 5. Multiplying Polynomials a) $2 x^{4}\left(3 x^{2}+2 x-5 ight) $ b) $(m+3)\left(m^{2}-2 m+1 ight) $ c) $(4 x+3)(x+2)$ $f(x, y, z)=\operatornamesum} (x 1, X Z, X 30$ Here, X1, X2, X3 is the last 3 digits of your ID. (i) Design a decoder that represent this function. Set number of input and output according to the $x 1, X 2, X 3$ value. (ii) Also design a multiplexer with the same function with minimum number of selectors. CS.JG.013