Chapter 2

Simplify the following problems. $$ a^{3} b^{7} \cdot \frac{a^{9} b^{6}}{a^{5} b^{10}} $$

Simplify the following problems. $$ \frac{\left(x^{4} y^{6} z^{10}\right)^{4}}{\left(x y^{5} z^{7}\right)^{3}} $$

Simplify the following problems. $$ \frac{(2 x-1)^{13}(2 x+5)^{5}}{(2 x-1)^{10}(2 x+5)} $$

Simplify the following problems. $$ \left(\frac{3 x^{2}}{4 y^{3}}\right)^{2} $$

Simplify the following problems. $$ \frac{(x+y)^{9}(x-y)^{4}}{(x+y)^{3}} $$

Simplify the following problems. $$ x^{n} \cdot x^{m} $$

Simplify the following problems. $$ a^{n+2} a^{n+4} $$

Simplify the following problems. $$ 6 b^{2 n+7} \cdot 8 b^{5 n+2} $$

Simplify the following problems. $$ \frac{18 x^{4 n+9}}{2 x^{2 n+1}} $$

Simplify the following problems. $$ \left(x^{5 t} y^{4 r}\right)^{7} $$

Simplify the following problems. $$ \left(a^{2 n} b^{3 m} c^{4 p}\right)^{6 r} $$

Simplify the following problems. $$ \frac{u^{w}}{u^{k}} $$