Answer:
A
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , [tex]a^{0}[/tex] = 1
(14x³[tex]y^{-4}[/tex] )(4[tex]x^{-5}[/tex][tex]y^{4}[/tex] )
= 14 × 4 × x³ × [tex]x^{-5}[/tex] × [tex]y^{-4}[/tex] × [tex]y^{4}[/tex]
= 56 × [tex]x^{(3-5)}[/tex] × [tex]y^{(-4+4)}[/tex]
= 56 × [tex]x^{-2}[/tex] × [tex]y^{0}[/tex]
= 56 × [tex]\frac{1}{x^2}[/tex] × 1
= [tex]\frac{56}{x^2}[/tex] → A
