Nth Roots and Rational Exponents

Rewrite into rational exponent form
√10

• 10²

• 10^½

• 10

• 10¹

Write in exponential form
∛x⁷

• x^7/3

• x^3/7

• 3x⁷

• 7x³

Simplify:

• 2√12

• 4√12

• 4√3

• 16√3

Simplify:

• 8x⁹

• 8x³

• 8x⁴√x

• 8x³√x

Rewrite into radical form
x^3/4

• ∜x³

• ∛x⁴

• ∜x

• ∛x

Rewrite in Exponential Form.

• A

• B

• C

• D

• subtract 3 on both sides

• divide by -2 on both sides

• square both sides

• divide by 6 on both sides

• add 7 on both sides

• subtract 18 on both sides

• square both sides

• divide by 12 on both sides

• square both sides

• subtract 8 on both sides

• add 3 on both sides

• divide by 4 on both sides

Find the indicated nth root(s) of a.

n =3, a = -125

• 5

• -5

• 41.6666