Multiplying+and+dividing+algebraic+expressions

When multiplying and dividing algebraic expressions we can rewrite the expression with the coefficients together and the same variables together. e.g. 8a². 6b ²a
 * __ Multiplying and dividing algebraic expressions __**

Rewrite as -> 8.6.a².a.b __ Note __ : a2 and a are the same variables. __ When Multiplying algebraic expressions we: __ 1) Multiply the coefficients 2) Add the powers of the variables

e.g. a. a⁵ = a⁶ (Note: a⁵ =a.a.a.a.a) a¹. a⁵ = a⁶

e.g. 2a. 2a = 4a² 2 . 2 . a. a = 4. a¹. a¹ = 4a²

e.g. 4a² .6b³ .b² 4. 6 . 1 . a². b³. b² = 24a²b⁵

e.g. 4a² .5a² .6a² 4 . 5 . 6 . a². a². a² = 120a⁶ __ When dividing algebraic expressions we: __ 1) Divide the coefficients 2) Subtract the powers of the variables

e.g. 2a/4 = a/2 2/4 . a = ½. a = a/2

e.g. a⁴ /a² = a² (a² . a² )/ a² = a²

e.g. 10a⁶/5a = 2a⁵ 10/5= 2 and a⁶ / a = a⁵ so = 2a⁵

e.g. 4a⁵ b⁶ /2ab 4/2 = 2 and a⁵b⁶ / ab = a⁴b⁵ So = 2a⁴b⁵

e.g. 20ab²/5a³b³ 20/5 = 4 and ab²/ a³b³ = So the whole thing equals 4a¯²b¯¹ Note: if a variable has a negative power then the variable goes to the denominator e.g. a¯² = 1/a2