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Byyyfhk
Byyyfhk Byyyfhk
  • 26-06-2016
  • Mathematics
Answered

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

A.) -10.40

B.) -3.74

C.) 7.63

D.) 10.40

E.)21.15

Verified Answer :

olemakpadu
olemakpadu olemakpadu
  • 26-06-2016

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!

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