Answer:
[tex]\frac{4x^2}{y^6}[/tex]
Step-by-step explanation:
using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex]
[tex]\frac{1}{a^{-m} }[/tex] ⇔ [tex]a^{m}[/tex]
[tex]a^{0}[/tex] = 1
[tex]\frac{2x^{2}.8x^{-2} }{4x^{-2}.y^{6} }[/tex]
= [tex]\frac{16x^{2-2} }{4x^{-2}.y^{6} }[/tex]
= [tex]\frac{16x^{0} }{4x^{-2}.y^{6} }[/tex]
= [tex]\frac{16}{4x^{-2}.y^{6} }[/tex]
= [tex]\frac{4x^2}{y^{6} }[/tex] ( in positive exponent form )
