Algebraic Expressions

Algebraic Expressions – Rules for Exponents Let’s review the rules for exponents you learned in Algebra 1 :

Algebraic Expressions – Rules for Exponents Let’s review the rules for exponents you learned in Algebra 1 : - When you multiply like variables you ADD their exponents

Algebraic Expressions – Rules for Exponents Let’s review the rules for exponents you learned in Algebra 1 : - When you multiply like variables you ADD their exponents - When you divide like variables you SUBTRACT their exponents

Algebraic Expressions – Rules for Exponents Let’s review the rules for exponents you learned in Algebra 1 : - When you multiply like variables you ADD their exponents - When you divide like variables you SUBTRACT their exponents - When an exponent is raised to another exponent, you MULTIPLY exponents

Algebraic Expressions – Rules for Exponents Let’s review the rules for exponents you learned in Algebra 1 : - When you multiply like variables you ADD their exponents - When you divide like variables you SUBTRACT their exponents - When an exponent is raised to another exponent, you MULTIPLY exponents - When a variable has a negative exponent, you change its position in a fraction and the exponent becomes positive.

Algebraic Expressions – Rules for Exponents Let’s review the rules for exponents you learned in Algebra 1 : - When you divide like variables you SUBTRACT their exponents - When an exponent is raised to another exponent, you MULTIPLY exponents - When a variable has a negative exponent, you change its position in a fraction and the exponent becomes positive.

Algebraic Expressions – Rules for Exponents Let’s review the rules for exponents you learned in Algebra 1 : - When an exponent is raised to another exponent, you MULTIPLY exponents - When a variable has a negative exponent, you change its position in a fraction and the exponent becomes positive.

Algebraic Expressions – Rules for Exponents Let’s review the rules for exponents you learned in Algebra 1 : - When a variable has a negative exponent, you change its position in a fraction and the exponent becomes positive.

Algebraic Expressions – Rules for Exponents Let’s review the rules for exponents you learned in Algebra 1 :

Algebraic Expressions – Rules for Exponents Let’s review the rules for exponents you learned in Algebra 1 : What we are going to do in Pre – Calc is take these rules and combine them into multi – step problems that might have all four rules utilized.

Algebraic Expressions – Rules for Exponents Example # 1 :

Algebraic Expressions – Rules for Exponents Example # 1 : Since everything is multiplied, we can multiply all integers, and all like variables.

Algebraic Expressions – Rules for Exponents Example # 1 : Example # 2 :

Algebraic Expressions – Rules for Exponents Example # 1 : Example # 2 : Don’t PANIC !!! The rule for multiplying like variables still applies. Exponents can be algebraic, integers, or fractions

Algebraic Expressions – Rules for Exponents Example # 1 : Example # 2 : We will still ADD exponents Don’t PANIC !!! The rule for multiplying like variables still applies. Exponents can be algebraic, integers, or fractions

Algebraic Expressions – Rules for Exponents Example # 1 : Example # 2 : We will still ADD exponents Now just treat the exponent like an algebraic expression where we combine like terms…

Algebraic Expressions – Rules for Exponents Example # 3 : When you have imbedded parentheses and exponents outside, start with the innermost set and work your way “out”.

Algebraic Expressions – Rules for Exponents Example # 3 : Evaluate this first, applying the exponent outside to ALL of the terms inside.

Algebraic Expressions – Rules for Exponents Example # 3 : I like to multiply what is inside the brackets before I apply the outside exponent.

Algebraic Expressions – Rules for Exponents Example # 3 : Apply the outside exponent.

Algebraic Expressions – Rules for Exponents • There are two ways to attack this problem. • Apply the division rule using negative exponents. • Use the negative exponent rule first, then apply the division rule. Example # 4 :

Algebraic Expressions – Rules for Exponents • There are two ways to attack this problem. • Apply the division rule using negative exponents. • Use the negative exponent rule first, then apply the division rule. Example # 4 : I applied the negative exponent rule and moved any variable with a negative exponent to the other part of the fraction and made the exponent positive…

Algebraic Expressions – Rules for Exponents • There are two ways to attack this problem. • Apply the division rule using negative exponents. • Use the negative exponent rule first, then apply the division rule. Example # 4 : Apply the normal division of like variables rule…

Algebraic Expressions – Rules for Exponents This problem has a few rules to apply, apply the exponent to each parentheses first… Example # 5 :

Algebraic Expressions – Rules for Exponents This problem has a few rules to apply, apply the exponent to each parentheses first… Example # 5 : When you have an integer to the ½ power, it is the square root of the integer.

Algebraic Expressions – Rules for Exponents This problem has a few rules to apply, apply the exponent to each parentheses first… Example # 5 : Now you divide your variables…

Algebraic Expressions – Rules for Exponents This problem has a few rules to apply, apply the exponent to each parentheses first… Example # 5 : Anything to the zero power = 1, and it is not necessary to change improper fractions to mixed numbers…

Algebraic Expressions – Rules for Exponents Example # 6 : On this one I would reduce any integer fraction first…

Algebraic Expressions – Rules for Exponents Example # 6 : Now apply the negative exponent outside…

Algebraic Expressions – Rules for Exponents Example # 6 : Move your negative exponent variables…

Algebraic Expressions – Rules for Exponents Example # 6 : Apply multiplication and division of variables rules…

Algebraic Expressions – Rules for Exponents