Radicals and Exponents

Rewrite the following

∛x⁵

• x^3/5

• x^5/3

• x²

• x³⋅x⁵

Write in exponential form
∜(3x)³

• 3x³⁄ ⁴
• (3x)³∕ ⁴
• (3x)⁴⁄ ³
• 3x⁴⁄ ³

6√3-3√27

• 9√2

• 12√3

• 10√3

• -3√3

• 13√3
• 10√30
• 13√6
• 11√3

Simplify:
6√2 ⋅5√14

• 32√7
• 60√7
• 2√7
• 30√7

Name the parent function.

• cube root

• quadratic

• cubic

• square root

• linear

Name the parent function.

• cube root

• quadratic

• cubic

• square root

• linear

Which function matches the graph?

• A

  f(x) = √(x - 1) + 3

• B

  f(x) = − √(x + 1) + 3

• C

  f(x) = √(-x + 1) + 3

• D

  f(x) = − √(x + 3) − 1

Which function matches the graph?

• A

  f(x) = ∛(x + 3) + 2

• B

  f(x) = − ∛(x - 3) + 2

• C

  f(x) = ∛(x - 3) + 2

• D

  f(x) = ∛(x - 2) + 3

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis