Solve Fractional Exponent Equations

Solve the equation.

• 25

• -29

• -3

• 3

• 9^2/3

Solve for x

• x=27

• x=-3

• x=81

• x=3

• x=-27

Which expression with a fractional exponent best represents √7 ?

• 7^1/2

• 7^1/4

• 7^1/3

• 2^1/7

• 2⁷

How would we say this if converted to radical form?

• "Thirty-two to the three-fifths"

• "Fifth root of thirty-two raised to the third power"

• "Third root of thirty-two raised to the fifth power"

• "Quintic root of thirty-two raised to the fifth power"

• "Thirty-two and three-fifths"

What is the value of the power?

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

• 16

• 3

• 7

• no solution

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

• 16

• 3

• 7

• no solution

Rewrite in rational exponent form

• 4^4/3

• 4^3/4

• 2^4/3

• 2^3/4

• Cannot because the cubic root of 4 is not an integer

Solve the equation.

• 16

• -16

• 8

• -8

• 32

Solve for x:
(2x - 1)^3/4 + 9 = 36

• 27

• 13

• 41

• 82