$$=4^{2+5}=4^7$$

$$=3^{4+1}=3^5$$

$$=3^{6-3}=3^3$$

$$=9·4=36$$

$$=\frac{16}{3}$$

$$=3^{2·2}=3^4$$

$$=\frac{4^{2·2}}{3^2}=\frac{256}{9}$$

$$=\frac{4^2}{3^2}=\frac{16}{9}$$

$$=x^{3+2}=x^5$$

$$=x^{4-2}=x^2$$

$$=\frac{b^{3+2}}{b^4}=b^{5-4}=b^1=b$$

$$=\frac{y^{3+3}}{y^{3+1}}=\frac{y^6}{y^4}=y^{6-4}=y^2$$

$$=a^2·b^2·a^2=a^{2+2}·b^2=a^4{b}^2$$

$$=\frac{x^4·y^4}{y^3}=x^4·y^{4-3}=x^4·y^1=x^4·y$$

$$=\frac{a^{2·3}{b}^{3·3}}{a^5{b}^8}=\frac{a^6{b}^9}{a^5{b}^8}=a^{6-5}{b}^{9-8}=ab$$

$$=2^2{x}^{2·2}{y}^{3·2}·2^3{x}^3{y}^3=4x^4{y}^6·8x^3{y}^3=4·8x^{4+3}{y}^{6+3}=32x^7{y}^9$$

$$=2^2·a^2=4a^2$$

$$=3^3·a^3·b^3=27a^3{b}^3$$

$$=\frac{2^3·x^3}{2^3·x}=2^{3-3}·x^{3-1}=2^0·x^2=x^2$$

$$=\frac{3^2·x^2·2^2·y^2}{x·y}=9·4·x^{2-1}·y^{2-1}=36xy$$

$$=\frac{2^2·x^2}{4·x^2}=\frac{4·x^2}{4·x^2}=1$$

$$=\frac{a^3·b^3}{a^3·b^{-2}}=a^{3-3}·b^{3+2}=a^0·b^5=1·b^5=b^5$$

$$=a^{2-3-2-1}·b^{-2+3}=a^{-4}·b^1=\frac{b}{a^4}$$

$$=4·\left(-8\right)=-32$$

$$=\frac{2}{2^2}=\frac{1}{4}$$

$$=2^{-2·3}=2^{-6}=\frac{1}{2^6}=\frac{1}{64}$$

$$=x^{4-5}=x^{-1}=\frac{1}{x}$$

$$=y^{3-5}=y^{-2}=\frac{1}{y^2}$$

$$={\left(\left(-1\right)·a^2\right)}^3={\left(-1\right)}^3·a^{2·3}=-1·a^6=-a^6$$

$$=y^{-3}·y^{2·4}·1=y^{-3+8}=y^5$$

$$=\frac{b^{-6}·a^3}{b·b^4}=a^3·b^{-6-1-4}=a^3·b^{-11}=\frac{a^3}{b^{11}}$$

$$=\frac{x^2·y^{-2}·z^3}{x^2·y^2·z^2}=x^{2-2}·y^{-2-2}·z^{3-2}=x^0·y^{-4}·z^1=\frac{z}{y^4}$$