This document contains a worksheet for the indices rules. You can learn more about the indices rules in this entry Indices Rules

### Question 1: Multiplying and Dividing

- Simplify each of the following expressions7
^{7}x 7^{6}2^{7}÷ 2^{6}7^{8}x 7^{6}2^{9}÷ 2^{7}9^{8}x 9^{5}7^{8}÷ 7^{3}4^{2}x 4^{8}6^{5}÷ 6^{5}a^{8}x a^{8}n^{4}÷ n^{9}x^{9}x x^{6}e^{9}÷ e^{3}

### Question 2: Brackets and harder expressions

- Simplify the following expressions(5
^{6})^{2}8e^{3}÷ 5e^{6}(7^{7})^{3}5x^{8}÷ 3x^{5}(2^{9})^{2}5n^{4}÷ 3n^{3}(2^{5})^{5}5a^{4}÷ 7a^{8}(3^{7})^{4}4x^{8}÷ 5x^{2}(9^{4})^{4}9x^{4}÷ 9x^{3}(3a^{5})^{5}\[ \frac{18x^3 * 20x^9}{19x^6} \]