Need help please with step by step

Recall some properites of exponentiation:

So for

(-2 x ² y ⁻¹) ⁻² (5 x ³ y) ²

first distribute the outermost exponents across each product:

((-2)⁻² (x ²)⁻² (y ⁻¹)⁻²) (5² (x ³)² y ²)

Simplify the powers using the multiplication property (the second one listed above) of exponents:

((-2)⁻² x ⁻⁴ y ²) (5² x ⁶ y ²)

Combine powers of the same terms using the addition property (the first one):

(-2)⁻² 5² x ⁻⁴⁺⁶ y ²⁺²

(-2)⁻² 5² x ² y ⁴

Finally, simplify the coefficient:

(-2)⁻² = 1 / (-2)² = 1/4

5² = 25

So you end up with

25/4 x ² y ⁴

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)