Answer:
[tex]\frac{x^6}{216y^9}[/tex]
Step-by-step explanation:
I'm gonna assume your assignment is to rewrite without negative exponents?
[tex](6x^{-2}y^3)^{-3}[/tex]
multiply the exponent into the parentheses, [tex](a^{b} )^c = a^{bc}[/tex]
[tex](6x^{-2}y^3)^{-3}[/tex] = [tex]6^{-3} x^6y^{-9}[/tex]
now move the negative exponents "downstairs"
[tex]6^{-3} x^6y^{-9}[/tex] = [tex]\frac{x^6}{6^3*y^9}[/tex]
negative exponents in denominator move up, in numerator move down
simplifying now
[tex]\frac{x^6}{6^3*y^9}[/tex] = [tex]\frac{x^6}{216y^9}[/tex]
the other way to do this is to move the entire inside down, then multiplying the exponent, like this
[tex](6x^{-2}y^3)^{-3}[/tex]=[tex]\frac{1}{(6x^{-2}y^3)^{3}} =\frac{1}{6^3*x^{-6}y^9}[/tex]
then move things up and down
both ways will get you the same answer
