Rational and Radical Exponents

14

• a

• b

• c

• d

Write the following expression in radical form:

• a.)

• b.)

• c.)

• d.)

Simplify by first converting to rational exponents. Assume that all variables represent positive real numbers.

Rewrite the following

∛x⁵

• x^3/5

• x^5/3

• x²

• x³⋅x⁵

Rewrite the expression using a rational exponent:

a

b

c

2

3

5

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

• power

• root

• radical

• index

a

b

c

3

5

a

Write as a radical expression
y²⁄ ³

• 2y³

• √y³

• ∛y²

• 3y²

Simplify

• 3 x² y² z √3yz

• 3 x y z √xy²

• 3xyz

• Can't Simplify