Radical & Rational Exponents

• x = 49
• x = 53
• x = 45
• x = 18

Solve

• -14

• 14

• no solution

• 28

Solve this equation.

• x = -3

• x = 0

• x = 1/3

• x = 3

Solve for x.

• -13

• 4

• 19

• Extraneous root

This expression can be written as the following exponent on x.

• x^1/5

• x^-1/5

• x^-5

• x⁵

The expression can be written equivalently with the following exponent on x. 

• 5/9

• 9/5

• 4

• 45

• 7³
• 7
• 7^3/4
• 7^4/3

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

• power

• root

• radical

• index

Write in exponential form
∛x⁷

• x⁷∕ ³

• x3⁄7

• 3x⁷

• 7x³

Write in exponential form
∜(3x)³

• 3x³⁄ ⁴

• (3x)³∕ ⁴

• (3x)⁴⁄ ³

• 3x⁴⁄ ³