# write in simplified radical form: root(3)(128)= root(5)(96x^(20)y^(11))=

Write in simplified radical form: $\sqrt[3]{128}=$
$\sqrt[5]{96{x}^{20}{y}^{11}}$
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Jazmyn Bean
$\sqrt[3]{128}$ first take 128 and put it into prime numbers
$\sqrt[3]{2\ast 2\ast 2\ast 2\ast 2\ast 2}$ now anything that is seen 3 times can bepulled out in front of the radical
${2}^{3}\sqrt{2\ast 2\ast 2}$
$2\ast {2}^{3}\sqrt{1}$ so the end result of this one would be 2*2, which is 4
=4
$\sqrt[5]{96{x}^{20}{y}^{11}}$ expand under the radical
$\sqrt[5]{2\ast 2\ast 2\ast 2\ast 2\ast 3{x}^{20}{y}^{11}}$ now anything that is seen five times canbe pulled out
$=2{x}^{4}{y}^{2}\sqrt[5]{y}$