x2/3=125
x = 187.5
Do it backwards.... 125 x 3 375
375/2 187.5
I have a feeling you meant that to say
(x^2)/3 = 125
then x^2 = 375
x = ±√375
= ±5√15 or appr. ±19.365
To solve the equation x^(2/3) = 125, we need to isolate the variable x.
Step 1: Apply the reciprocal to both sides of the equation. Raise both sides to the power of 3/2, which is the reciprocal of 2/3.
(x^(2/3))^(3/2) = 125^(3/2)
Step 2: Simplify the exponents. On the left side, multiplying the exponents gives us x^1, which is simply x. On the right side, raise 125 to the power of 3/2, which is √(125^3). Simplifying this gives us √(125^2) * 125 = 5^3 * 125.
We have x = (5^3) * 125 = 5 * 5 * 5 * 125 = 625 * 125 = 78125.