Respuesta :
The expression that is equivalent to the given expression [tex]\sqrt[4]{144a^{12}b^{3}}[/tex] is [tex]2(3)^{\frac{1}{2}}a^{3}b^{\frac{3}{4}}[/tex].
What is an expression?
"An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context."
The given expression is:
[tex]\sqrt[4]{144a^{12}b^{3}}\\= [144a^{12}b^{3}]^{\frac{1}{4}}\\= (16)^{\frac{1}{4}}(9)^{\frac{1}{4}}(a^{12})^{\frac{1}{4}}(b^{3})^{\frac{1}{4}} \\= 2(3)^{\frac{1}{2}}a^{3}b^{\frac{3}{4}}[/tex]
Therefore, the required expression is [tex]2(3)^{\frac{1}{2}}a^{3}b^{\frac{3}{4}}[/tex].
Learn more about an expression here: https://brainly.com/question/27425578
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