Answer:[tex]2a^3\sqrt[4]{9b^3}[/tex] is equivalent to [tex]\sqrt[4]{144a^{12}b^3}[/tex].
Explanation: Since, given expression, [tex]\sqrt[4]{144a^{12}b^3}[/tex]
Since, we can write,
[tex]\sqrt[4]{144a^{12}b^3}=\sqrt[4]{16\times9\times (a^3)^4 b^3}[/tex] (because, a^{mn}=(a^n)^m
⇒[tex]\sqrt[4]{144a^{12}b^3}=\sqrt[4]{(2)^4\times9\times (a^3)^4\times b^3}[/tex]
⇒[tex]\sqrt[4]{144a^{12}b^3}=2a^3\sqrt[4]{9 \times b^3}[/tex]
