Question

Can anyone help ? my algebra isnt good

Answer 1

`\bf \sqrt[4]{144a^(12)b^3}\qquad \begin{cases} 144=2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\\ \qquad 2^4\cdot 3^2\\ a^(12)=a^(3\cdot 4)\\ \qquad (a^3)^4 \end{cases}\implies \sqrt[4]{2^4\cdot 3^2(a^3)^4b^3} \\\\\\ 2a^3\sqrt[4]{3^2b^3}\implies 2a^3\sqrt[4]{9b^3}`