5-4 Dividing Exponents (The Quotient Rule)

5-4 Dividing Exponents (The Quotient Rule)

We have learned a few laws of exponents and their special rules.
-Multiplying Exponents
-Raising a Power to a Power
-Zero Exponents
-Negative Exponents

​So far...

SO LET'S REVIEW!

Multiple Choice

Simplify each expression.

• ADD (7 + 3 = 10)

• MULTIPLY (7 x 3 = 21)

• SUBTRACT (7 - 3 = 4)

Multiple Choice

Simplify each expression.

• ADD (6 + 2 = 8)

• MULTIPLY (6 x 2) = 12

• SUBTRACT (6 - 2 = 4)

Multiple Choice

Simplify each expression.

• 1

• b

• 0

Multiple Choice

Simplify each expression.

• 17

• 1

• 0

Multiple Choice

Simplify each expression.

• ADD (4 + 3 = 7)

• MULTIPLY (4 x 3 = 12)

• SUBTRACT (4 - 3 = 1)

Multiple Choice

Simplify each expression.

• SUBTRACT (2 - 9 = -7)

• ADD (2 + 9 = 11)

• MULTIPLY (2 x 9 = 18)

Today we will look at the quotient rule. This is what happens when we divide by the same base.

​

Whats new today?

When we are dividing two terms with exponents, we can SUBTRACT the exponents if the bases are the same.

​

Quotient of Powers Rule States:

​1) We can expand the numerator and denominator.

Example:

​2) After we expand, we can eliminate pairs (from the top and the bottom).

Example:

​Giving us an answer of...

NOW YOU TRY!

Multiple Choice

Simplify each expression:

Multiple Choice

Simplify each expression:

Multiple Choice

Simplify each expression: