Properties of Rational Exponents.

Properties of Rational Exponents.

Keep Calm....

Use the rules we've been using for properties of integer exponents.

Multiple Choice

Given

 $\left(7^2\right)^4$  what would you do with the exponents in order to simplify?

• add

• divide

• multiply

• divide

Multiple Choice

Given

 $\left(7^2\right)^{\frac{1}{4}}$  what would you do with the exponents in order to simplify?

• add

• divide

• multiply

• divide

Fill in the Blank

 $2\times\frac{1}{4}$  =

Multiple Choice

Simplify

 $\left(7^2\right)^{\frac{1}{4}}$  

• 7

•  $7^{\frac{1}{2}}$  

•  $7^2$  

Multiple Choice

Simplify

 $\left(14^3\right)^{\frac{1}{2}}$  

•  $14^3$  

•  $14^2$  

•  $14^{\frac{3}{2}}$  

•  $14^{\frac{7}{2}}$  

Multiple Choice

When simplifying

 $\frac{x^2}{x^4}$  what do you do with the 2 and 4?

• add

• subtract

• multiply

• divide

Multiple Choice

When simplifying

 $\frac{5^{\frac{1}{5}}}{5}$  What will you do with the 2 exponents?

• add

• subtract

• multiply

• divide

Fill in the Blank

What is the exponent of 5?

Multiple Choice

Simplify

 $\frac{5^{\frac{1}{5}}}{5}$  

•  $5^{\frac{6}{5}}$  

•  $5^{\frac{1}{5}}$  

•  $\frac{1}{5^{\frac{4}{5}}}$  

•  $\frac{1}{5^{\frac{6}{5}}}$  

Multiple Choice

• add

• subtract

• multiply

• divide

Multiple Choice

• add

• subtract

• multiply

• divide

Multiple Choice

• 8

• 10

• 16

• 32

Multiple Choice

• add

• subtract

• multiply

• divide

Multiple Choice

• 1/3

• 3

• 9

• 27

Multiple Choice

• $x^{\frac{1}{2}}$

• $x^1$

• $x^0$

Multiple Choice

• $y^{\frac{-1}{4}}$

• $y^{\frac{17}{12}}$