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\[ (\sqrt[5]{a^2b} ) (\sqrt[5]{a^3b^4})\]
\[\sqrt[a]{x}=x^{\frac{ 1 }{ a }} \]
\[a ^{\frac{ 2}{ 5}}b^{\frac{ 1}{ 5}}a^{\frac{ 3}{ 5}}b^{\frac{ 4}{ 5}}\]
\[(a^2b)^{^{\frac{ 1 }{ 5 }}}(a^3b^4)^{\frac{ 1 }{ 5 }}\] same power so
ab
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\[(a^2b \times a^3b^4)^{\frac{ 1 }{ 5 }}\] \[(a^{2+3}b^{4+1})^\frac{ 1 }{ 5 }\] \[(a^5b^5)^\frac{ 1 }{ 5 }=ab\]
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