Rational Exponents and Radical

14

• a

• b

• c

• d

Write the following expression in radical form:

• a.)

• b.)

• c.)

• d.)

Rewrite the following

∛x⁵

• x^3/5

• x^5/3

• x²

• x³⋅x⁵

Write as a radical expression
y²⁄ ³

• 2y³

• √y³

• ∛y²

• 3y²

What is the value of 27^⅓?

• 27

• 9

• 3

• 1/3

The expression can be written equivalently with the following exponent on x. 

• 5/9

• 9/5

• 4

• 45

This expression can be written as the following exponent on x.

• x^1/5

• x^-1/5

• x^-5

• x⁵

• 7³
• 7
• 7^3/4
• 7^4/3

A rational exponent can be broken down by identifying the numerator as a ​ ​ (a)   and the denominator as a ​ (b)  

• power

• root

• radical

• index

Simplify

• 3 x² y² z √3yz

• 3 x y z √xy²

• 3xyz

• Can't Simplify