Question

If x^(3/5) = 1.84, then x^2 = ?
Show Work.
A.) 7.63
B.) 10.40
C.) 21.15

Answer 1

x^(3/5) = 1.84

x^(3/5) = (1.84)

Raise both sides of the equation to (5/3).  

This is so that on the side with x,  3/5 * 5/3 = 1.

(x^3/5 )^5/3 = (1.84)^(5/3)

x^(3/5  *  5/3) = 1.84^(5/3)

x^1 = 1.84^(5/3)
 
x = 1.84^(5/3)

But remember we are solving for x^2.

x = 1.84^(5/3)

x^2 = (1.84^(5/3))^2

x^2 =  1.84^(5/3  *2 )

x^2 =  1.84^(10/3)

Use a calculator here.

x^2 =  1.84^(10/3) ≈ 7.63

Option A.

Cheers!