Review Properties of Exponents

Properties of Exponents

Let's review the properties of exponents. You'll want to take notes as you go so that you can answer all of the questions.

​Exponents

Remember:

Invisible ones!

5 = 5¹
x = x¹

Product of Powers

Product of Powers: Example

Multiple Choice

Your turn: product of powers. What is $$y^6\cdot y^2$$ ?

• $$y^{6+2}$$  

• $$y^{6-2}$$  

• $$y^{6\div2}$$  

• $$y^{6\times2}$$  

Multiple Choice

$$z^3\cdot z^7=?$$  

• $$z^{21}$$  

• $$z^{\frac{3}{7}}$$  

• $$z^{-4}$$  

• $$z^{10}$$  

• $$z^4$$  

Power of a Product

Power of a Product: Example

Multiple Choice

Now it's your turn. $$\left(2ab\right)^3=?$$  

• $$2xy$$  

• $$2x^3y^3$$  

• $$8xy$$  

• $$8x^3y^3$$  

Power of a Power

Power of a Power: Example

Multiple Choice

Now it is your turn. $$\left(t^6\right)^9=?$$  

• $$t^{15}$$  

• $$t^3$$  

• $$t^{-3}$$  

• $$t^{\frac{1}{3}}$$  

• $$t^{54}$$  

Power of a Zero

Power of a Zero: Examples.

Fill in the Blanks

What is $42^0?$  

Quotient of Powers

Quotient of Powers: Example.

Multiple Choice

Your turn. What is $$\frac{\left(2x\right)^5}{\left(2x\right)^3}=?$$  

• $$4x^2$$  

• $$8x^2$$  

• $$1$$  

• $$16x^8$$  

Power of a Quotient

Power of a Quotient: Example

Multiple Select

Now it is your turn. $$\left(\frac{2s}{r}\right)^4=?$$  Select all that are right.

• $$\frac{\left(2s\right)^4}{r^4}$$  

• $$\frac{16s^4}{r^4}$$  

• $$\frac{8s^4}{r^2}$$  

• Cannot be simplified

Negative Exponents.

​FLIP!

Negative Exponents Examples.

​FLIP!

​FLIP!

Multiple Choice

Your turn. What is $$y^{-12}?$$  

• $$y^{12}$$  

• $$\frac{1}{y^6}$$  

• Cannot be simplified. 

• $$\frac{1}{y^{12}}$$  

​In Summary: