Question

Which expression is equivalent to cube root of 27 x superscript 18? 3x3 3x6 9x3 9x6

Answer 1

`\sqrt[3]{27 x^(18)}\qquad \begin{cases} 27=3\cdot 3\cdot 3\\ \qquad 3^3\\ x^(18)=x^(6\cdot 3)\\ \qquad (x^6)^3 \end{cases}\qquad \implies \begin{array}{llll} \sqrt[3]{3^3 (x^6)^3}\implies \sqrt[3]{(3x^6)^3} \\\\\\ 3x^6 \end{array}`