Rational Exponents and Rational Functions

Write as a radical expression
y¹⁄ ³

• ∛y

• y³

• √y

• 1∕ 3y

Simplify
x²⁄ ³⋅x¹⁄ ³

• 2x

• x²⁄₉

• x

• x²

∛k⋅∜k can be rewritten as:

• k^7/12

• k^1/12

• k^1/7

• ∜k³

Simplify

• 40

• √14

• -10√10

• 2√10

• There is a hole at x=3

• There is a hole at x= -2

• The horizontal asymptote is at y=0

• The domain is {x|x≠2,3}

Simplify 4^1/3 x 4^4/3

• 4^5/3

• 4

• 2⁵

Solve

• -14

• 14

• no solution

• 28

Solve for x:
(2x - 1)^3/4 + 9 = 36

• 27

• 13

• 41

• 82

Solve.  Remember to check for extraneous solutions.

• {7}

• {1}

• {-1}

• NRS

Write in exponential form
∛x⁷

• x⁷∕ ³

• x3⁄7

• 3x⁷

• 7x³