Solve the equation x^3/2=27? maths help?

Hi,

x = 9 <==ANSWER

x^3/2 = 27

(x^3/2)^2/3 = 27^2/3

x = 27^2/3

x= (³√27)²

x = 3²

x = 9

I hope that helps!! :-)

Will GUESS that question should read as :-

x^(3/2) = 27

x = 27^(2/3)

x = 3 ²

x = 9

PS
Question could also have been read as ( x^3) / 2 = 27.
Brackets MUST be used to avoid confusion.

t=3

x^(3/2) = 27
x = 27^(2/3)
x = (3^3)^(2/3)
x = 3^(3 * 2/3)
x = 3^2
x = 9

With these you look at the number on the right side and manipulate it so the powers on both sides are equal. Nothing to it.

Let's start by creating a ^3 on the left. We know 3^3 is 27.
x^3/2=27=3^3
So x^3/2=3^3

We need a ^3/2 though and we know this can be represented by (^1/2)^3.
We know that 9^1/2=3 so if we replace (3)^3 by (9^1/2)^3 it works.
Thus x^3/2=3^3=(3)^3=(9^1/2)^3=9^3/2
In other words x^3/2=9^3/2 and as 3/2=3/2, it follows by logic that x=9.

I think the problem is not correctly stated . It must be x^(3/2) = 27
x^(3/2) means square root of x^3
Square up both sides of the equation
we get x^3 = 27^2
x^3 = 3^3 * 3^3 Extract cube root on both sides
x = 3*3 = 9

(x^3/2)^2/3=27^2/3
x = 9

x * sqrx=27 is another way to say the same.
let us say x=9 then sqr9=3

Therefore the solution on this equation is x=9

Generally the solution is x^3=27^2
x^3= (3*3'3)^2
x^3=3^6
x=3^2=9

Solve the equation x^3/2=27?

x^3/2 = 27
(x^1/2)^3 = (3)^3
LET
x^1/2 = a, then
(a)^3 = (3)^3
SO
a = 3
a = x^1/2 = 3
Squaring both sides, we have :
x = 9 .................................... Answer

If its x^(3/2), then
x=9.