Law of Exponents: Division Rule

Law of Exponents: Division Rule

Multiple Choice

Simplify the expressions: 

 $2^0$   $\left(4^3\right)^0$   $\left(4ab^3\right)^0$  

• 1

• IDK

Multiple Choice

Simplify the expression:

xy^-7

• 1/(xy⁷)

• x/y⁷

• x⁷/y

• x⁷y

Multiple Choice

Simplify the expression:

(y⁹)^-2

• y¹⁸

• y¹¹

• 1/y¹⁸

• y⁹/2

Multiple Choice

Simplify the expression:

y⁻¹¹⋅y⁵

• 1⁄y⁶

• y⁶

• -y⁶

• -1⁄y⁶

Before we start with the division rule for the law of exponents we need to remember a simple rule that we know that involves fractions. Simplify the following:

 $\frac{5}{5}$  =             $\frac{543}{543}$ =           $\frac{a}{a}$ =             $\frac{xyz}{xyz}$ = 

Fill in the Blank

Sooooooooo any number divided by itself is equal to ___

Use what you know about exponents to expand the following and simplify:

 $\frac{x^5}{x^3}$  =

 $\frac{a^4}{a^7}$  =

Use what you know about exponents to expand the following and simplify:

 $\frac{h^{13}}{h^4}$  =

 $\frac{y^2}{y^8}$  =

Open Ended

Do you see a pattern?

Multiple Choice

Simplify the expression:

• ¹²

• 36

• 1/36

• 1/12

Multiple Choice

Simplify the expression:

• 4⁹

• 4⁴⁴

• 4²¹

• 4¹⁵

Multiple Choice

Simplify the expression:

• 3⁴

• 1/3⁴

• 3^-12

• 3³²

Multiple Choice

Division Law states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide