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

1 answer:

5 0

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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