Nth Roots and Rational Exponents with Variables

√343v⁸

• 7v³√7

• 7v⁴√7

• 7v⁵√7

• 7v²√7

SIMPLIFY:

• A

• B

• C

• D

Rewrite in Exponential Form.

• A

• B

• C

• D

• A
• B
• C
• D

• a
• b
• c
• d

• square both sides

• subtract 8 on both sides

• add 3 on both sides

• divide by 4 on both sides

Write as a radical expression
y^2/3

• 2y³

• √y³

• ∛y²

• 3y²

Write as a radical expression
y^1/3

• ∛y

• y³

• √y

• 1∕ 3y

Rewrite into rational exponent form
√10

• 10²

• 10^½

• 10

• 10¹

Write in exponential form
∛x⁷

• x^7/3

• x^3/7

• 3x⁷

• 7x³