How do you simplify #(3a ^ { - 3} ) ^ { 2}#?

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Answer 1 · 2018-07-09T15:13:42

#9/a^6#

We Need the law

#(ab)^n=a^nb^n#
so we get

#(3a^(-3))^2=3^2*a^(-6)=9/a^6#

Answer 2 · 2018-07-09T15:23:13

#{3a^(-3)}^2=9a^(-6)=9/a^6#

#{3a^(-3)}^2=3/a^3xx3/a^3=9/(a^(3+3))=9/a^6#...

Answer 3 · 2018-07-09T15:26:00

#9a^(-6)# or #9/(a^(-6))#

We can rewrite this expression as

#3^2*(a^(-3))^2#

When we have a power to a power, we just multiply them to get the new power. Thus, we get

#9a^(-6)# or #9/(a^(-6))#

Hope this helps!