Question

Which expression is the simplest form of (27x^-9)^1/3?

Answer 1

`\sqrt[n]{a^m}=a^(m)/(n)\\\\\sqrt[n]{a}=a^(1)/(n)\\\\(a^n)^m=a^(nm)\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(27x^(-9))^(1)/(3)=27^(1)/(3)(x^(-9))^(1)/(3)=\sqrt[3]{27}\cdot x^{-9\cdot(1)/(3)}=3x^(-3)=(3)/(x^3)`