Step-by-step explanation:
The given expression is :
[tex](\sqrt[3]{128} )^x[/tex]
We need to solve the above expression.
According to one of the law of indices,
[tex](\sqrt[a]{m} )^b=(\sqrt{m})^{b/a}[/tex]
Using above property,
[tex](\sqrt[3]{128} )^x=(128)^{x/3}\\\\=(64\times 2)^{x/3}\\\\=4(2)^{x/3}\ (\because\ \sqrt{64}=4) \\\\=4(\sqrt[3]{2})^x\\\\=4(2^{1/3})^x[/tex]
Hence, this is the required solution.
