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 Rule O 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 Rule O 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 Share O Compare the Product Rule and the Quotient Rule.

Day 2: Power and Negative Exponents Rules EXP 1.2 I can use the Power and Negative Exponent Rules to simplify algebraic expressions.

Power Rule O 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 Share O 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 multiplied O The Quotient Rule O Two terms are divided O The Power Rule O Power raised to a power O The Negative Exponents Rule O There is a negative exponent

Example 1 O Which two rules should we use? Why?

Example 2 O Which two rules should we use? Why?

Example 3 O Which two rules should we use? Why?

Example 4 O Which two rules should we use? Why?