# Find: root(4)(128a^8b^5)

Find:
$\sqrt[3]{128{a}^{8}{b}^{5}}$
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honotMornne
$\sqrt[3]{128{a}^{8}{b}^{5}}\phantom{\rule{0ex}{0ex}}=\left(128{\right)}^{1/3}{a}^{8/3}{b}^{5/3}\phantom{\rule{0ex}{0ex}}=4\left(2{\right)}^{1/3}{a}^{2}{a}^{2/3}{b}^{5/3}\phantom{\rule{0ex}{0ex}}=4{a}^{2}\sqrt[3]{2{a}^{2}{b}^{5}}$