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5 votes
(x^-3 x^-3)^2please Simplify. the answer should contain only positive exponents

User AAber
by
6.0k points

1 Answer

2 votes

The given expression is


(x^(-3)x^(-3))^2


\text{ Use }(a^n)^m=a^(n* m)\text{.}


(x^(-3)x^(-3))^2=x^(-3*2)x^(-3*2)


(x^(-3)x^(-3))^2=x^(-6)x^(-6)
\text{ Use }a^n+a^m=a^(n+m)\text{.}


(x^(-3)x^(-3))^2=x^(-6-6)


(x^(-3)x^(-3))^2=x^(-12)
\text{ Use }a^(-n)=(1)/(a^n)\text{.}


(x^(-3)x^(-3))^2=(1)/(x^(12))

Hence the answer is


(x^(-3)x^(-3))^2=(1)/(x^(12))

User Troy Morehouse
by
6.6k points
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