Answer:
Step-by-step explanation:
follow a few exponent rules and you can figure this out
when expoenents are to the power of something you can mutilply the expoents.. and when there is a minus sign in the exponent.. it's like the reciprocal [tex]x^{-2}[/tex] is 1/[tex]x^{2}[/tex] soooo...
mutilply the -2/3 by each of the exponents in the question the 8 is tricky b/c it has an invisible 1 on it :o
= [tex]8^{-2/3}[/tex][tex]w^{-14/3}[/tex][tex]x^{10/3}[/tex][tex]y^{-6/3}[/tex][tex]z^{18/3}[/tex]
= 1/[tex]\sqrt[3]{8*8}[/tex] * 1/[tex]w^{14/3}[/tex] * [tex]x^{10/3}[/tex] * 1/[tex]y^{2}[/tex] * [tex]z^{6}[/tex]
= 1/[tex]\sqrt[3]{64}[/tex]* 1/[tex]w^{14/3}[/tex] *[tex]x^{10/3}[/tex] * 1/[tex]y^{2}[/tex] * [tex]z^{6}[/tex]
= 1/4* 1/[tex]w^{14/3}[/tex] *[tex]x^{10/3}[/tex] * 1/[tex]y^{2}[/tex] * [tex]z^{6}[/tex]
=answer A