Question

Help please Working on stuff for a class need an answer.

Answer 1

Answer:

$2a^3(\sqrt[4]{9b^3} )$

Step-by-step explanation:

Given:

$\sqrt[4]{144a^{12}b^3}$

144 as a product of its prime factors  is $2^4\times 3^2$

Now, $a^{12}$ can be written as $(a^3)^4$     $(\because (a^m)^n=a^{m\times n})$

We know that, $\sqrt[4]{a^4} =a$

Hence, the given expression becomes,

$\sqrt[4]{2^4\times 3^2\times (a^3)^4\times b^3} \\=2a^3(\sqrt[4]{3^2\times b^3}\\ =2a^3(\sqrt[4]{9b^3})$