ahay20057 ahay20057
  • 10-06-2022
  • Mathematics
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What is the simplest radical form of the expression? (8x4y5)23

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vintechnology vintechnology
  • 22-06-2022

The radical form of the expression [tex](8x^{4} y^{5} )^{2/ 3}[/tex] is [tex]4(\sqrt[3]{x^{4}y^{5} } )^{2}[/tex]

How to express an expression in radical form?

[tex](8x^{4} y^{5} )^{2/ 3}[/tex]

using indices law,

(yⁿ)ˣ = yⁿˣ

Therefore,

2³ = 8

Hence,

[tex](2^{3} x^{4} y^{5} )^{2/ 3}[/tex] = [tex]4(x^{4} y^{5} )^{2/ 3}[/tex]

Finally, in radical form,

[tex]4(x^{4} y^{5} )^{2/ 3} = 4(\sqrt[3]{x^{4}y^{5} } )^{2}[/tex]

learn more on radical form here: brainly.com/question/27875405

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