Untitled Lesson

Properties of Exponents

By Rachel Mane

Poll

How confident do you feel with properties of exponents?

• 1- no clue

• 3- I think Ive got it sometimes

• 4- pretty confident

• 5- I can teach someone else

Open Ended

When multiplying two terms with the same base, what do we do with the exponents?

Multiple Choice

Simplify. Your answer should contain only positive exponents.

$$x^2\cdot x^4$$  

• $$x^2$$  

• $$x^6$$  

• $$x^{-2}$$  

• $$x^8$$  

Open Ended

When dividing terms with the same bases, what do we do with the exponents?

Multiple Choice

Simplify.

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰

Multiple Choice

Simplify. Your answer should contain only positive exponents.

$$2a^2b^3\cdot4ab^2$$  

• $$8a^3b^5$$  

• $$2ab^2$$  

• $$8a^2b^5$$  

• $$\frac{1}{2}ab$$  

Open Ended

When raising a base with an exponent to another power, what do we do with the exponents?

Multiple Choice

Simplify. Your answer should contain only positive exponents.

$$\left(6b^4c^2\right)^2$$  

• $$6b^8c^4$$  

• $$36b^4c^2$$  

• $$6^2b^2c$$  

• $$6^2b^8c^4$$  

Match

Simplify and match

• $$x^8$$

• $$x^6$$

• $$8x^6$$

• $$\frac{2x^4}{x^3}$$

• $$\left(x^2\right)^4$$

• $$x^2 \cdot x^4$$

• $$\left(2x^2\right)^3\cdot x^0$$

• $$2x^{ }$$

Poll

How confident do you feel with properties of exponents now?

• 1-no clue

• 3- I think i have it sometimes

• 4- pretty confident

• 5- I can teach someone else