Exponents and Properties of Exponents

Exponent and

Properties of Exponents

Essential Question:

How do I evaluate expressions with integer exponents?

Learning Target:

I can solve problems with exponents.

We will use the water fall method to answer

​

One minute for each problem.

​Warm Up

Product of Powers

Power of a Product

​Simplify the expressions

​You will complete four problems on the next slides on your own either mathematically, verbally, and written.

Draw

Simplify

2x³ ⋅ y ⁻³ ⋅ 2x ⁻¹ ⋅ y³

Open Ended

Type a written response on how to simplify below

4a ³ ⋅ b ² ⋅ 3a ⁻⁴⋅ b ⁻³

Draw

Simplify

(x ² y ⁻¹) ²

Audio Response

Verbally explain how to simplify the problem below.

(4a³ )²

Open Audio Recorder

Quotient of Powers

Power of a Quotient

​Simplify the expressions

​You will complete three problems on the next slides on your own either mathematically or written.

Open Ended

Type a written response on how to simplify the problem below

$$\frac{3m^{-4}}{m^3}$$

Draw

Simplify

$$\frac{2x^{-4}y^{-4}z^{-3}}{3x^2y^{-3}z^4}$$

Draw

Simplify

$$\left(\frac{a^2b^3}{ab}\right)^4$$

​Simplify the expressions

​You will complete three problems on the next slides on your own.

Negative Exponent

Draw

Simplify (only positive exponents in solution)

3x^-4

Draw

Simplify (only positive exponents in solution)

$$-\frac{3x^{-1}}{3x^3}$$

Draw

Simplify (only positive exponents in final solution)

$$\frac{n^4}{4n^{-2}}$$

Goal Met 😀

​I can apply the property of integer exponents.