Radicals With Rational Exponents

• x = 6, x = -1

• x = -6, x = 1

• x = 1

• x = 6

Solve. (3x-5)^1/4+3=4

• 4/3

• 2

• -2

• -4/3

Solve. (2x-5)^1/3=3

• 16

• 3

• 7

• no solution

Solve. (2x-8)^2/3 = 4

• x = 8, x= 0

• x = 8

• x = 7, x = -2

• no solution

Select the best answer.

• F

• G

• H

• J

• K

• 7³

• 7

• 7^3/4

• 7^4/3

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

• x^1/5

• x^-1/5

• x^-5

• x⁵

Q1. What is the value of x in the equation 3x + 5 = 14?

• A) 6

• B) 3/2

• C) 8/27

• D) 2/3

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

• power

• root

• radical

• index

Solve.

• x = -7

• x = 7

• x = -11

• no solution