Exercise 2.5 1. Simplify without using a calculator. \( \begin{array}{ll}\text { a) } \frac{20^{3} \times 25^{2} \times 4}{10^{7}} & \text { b) } \frac{10^{3} \cdot 15^{4} \cdot 6^{2}}{20^{4} \cdot 12.45^{2}} \\ \text { c) } \frac{2 \times 2^{2 a} \times 16^{2}}{4^{a+5}} & \text { d) } \frac{3^{2} \times 3^{n-1} \times 3^{0}}{9^{n-1}} \\ \text { e) } \frac{2^{m+n}}{2^{n}} & \text { f) } \frac{a^{a+b+c}}{a^{2 a-2 b+c}} \\ \text { g) } 4^{x} \times 8^{x+1} & \text { h) } \frac{9^{x}}{27^{x-1}} \\ \text { i) } \frac{5^{2 n+1} \times 3^{2 n-3}}{3^{2 n} \times 5^{2 n}} & \text { j) } \frac{5^{2 n+1} \times 5^{2 n-2} \times 5}{25^{2 n-1}} \\ \text { k) } \frac{12^{n+1} \times 9^{2 n-1}}{36^{n} \times 8^{1-n}} & \text { l) } \frac{5^{2 n} \times 15^{n-1} \times 3^{n}}{125^{n} \times 3^{n-1}} \\ \text { m) } \frac{27^{n-2} \times 6^{n}}{162^{n}} & \text { n) } \frac{10^{n} \times 25^{n-1} \times 2}{50^{n+1}} \\ \text { o) } \frac{12^{x} \times 9^{x+1}}{4^{x-1} \times 27^{x}} & \text { p) } \frac{20^{x+1} \times 4^{x}}{16^{x-1} \times 5^{x}} \\ \text { 2. Multiply. } & \text { b) } y\left(y^{-1}-2\right) \\ \text { a) } x^{2}\left(x^{3}+1\right) & \text { d) } 3^{x+1}\left(3^{x}-3^{2}\right) \\ \text { c) } 2^{n}\left(2^{n}+1\right) & \\ \text { Eind } & \text { it }\end{array} \)