Laws of Exponents

Day 1: Product and Quotient Rules

EXP 1.1 I can use the Product and Quotient Rules to simplify algebraic expressions.

Product RuleO Definition:

O When you multiply like terms, you add the exponents

O Formula:

O Example 1:

Product Rule Cont.O Example 2 O Example 3

Product Rule Cont.O Example 4

Quotient RuleO Definition:

O When you divide like terms, you subtract the exponents

O Formula:

O Example 1:

Quotient Rule Cont.O Example 2 O Example 3

Quotient Rule Cont.O Example 4

Think Pair ShareO Compare the Product Rule and the

Quotient Rule.

Day 2: Power and Negative Exponents

RulesEXP 1.2 I can use the Power and Negative

Exponent Rules to simplify algebraic expressions.

Power RuleO Definition:

O When you have a power raised to a power, you multiply the exponents

O Formula:

O Example 1:

Power Rule Cont.O Example 2 O Example 3

Power Rule Cont.O Example 4

Negative Exponents Rule

O Definition:O Make a fraction,

move the exponent and change its sign

O Formulas:

O Example 1:

O Example 2:

Negative Exponents Cont.

O Example 3: O Example 4:

Think Pair ShareO How do we know when to use the

Power Rule?

O What always happens to the exponent(s) as a result of the Negative Exponents Rule?

Day 3: Use a Combination of Exponent Laws

EXP 1.3 I can use a combination of exponent laws to simplify algebraic

expressions.

When would we use…?O The Product Rule

O Two terms are multipliedO The Quotient Rule

O Two terms are dividedO The Power Rule

O Power raised to a powerO The Negative Exponents Rule

O There is a negative exponent

Example 1O Which two rules should we use?

Why?

Example 2O Which two rules should we use?

Why?

Example 3O Which two rules should we use?

Why?

Example 4O Which two rules should we use?

Why?