Question

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

Answer 1

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))`