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