Simplify (4x^-2)^2/2x^3 using positive exponents. Please?

[4 x^(-2)]^2 / (2 x^3)

= 4^2 [x^(-2)]^2 / (2 x^3)

= 16 x^(-4) / (2 x^3)

= (16/2) x^(-4-3)

= 8 x^(-7)

= 8 / x^7

　
I assume you actually mean: (4x^−2)^2/(2x^3)
Parentheses make a difference. Please use them.

(4x⁻²)²/(2x³)
= 4²(x⁻²)²/(2x³)
= 16x⁻⁴/(2x³)
= (16/2) (x⁻⁴/x³)
= 8x⁻⁷
= 8/x⁷

8/x^7

16 x^(-4)
------------
2 x^3

8
-----
x^7