If x^ (3/5) = 1.84, then x^2 = ?

A.) - 10.40

B.) - 3.74

C.) 7.63

D.) 10.40

E.) 21.15

Question

Mathematics

Sharon

12 September, 09:22

If x^ (3/5) = 1.84, then x^2 = ?

A.) - 10.40

B.) - 3.74

C.) 7.63

D.) 10.40

E.) 21.15

+5

Answers (1)

Know the Answer?

Laney Wilson · 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 C.

Cheers!

If x^ (3/5) = 1.84, then x^2 = ?A.) - 10.40B.) - 3.74C.) 7.63D.) 10.40E.) 21.15

If x^ (3/5) = 1.84, then x^2 = ?

A.) - 10.40

B.) - 3.74

C.) 7.63

D.) 10.40

E.) 21.15