Respuesta :
The simplified answer to this question is 160ab
Work: 32 x 5ab = 160ab
Hope this helps!
The required radical form of the given Expression [tex](5ab)^{3/2}[/tex]would be as [tex](5ab)^{3/2} =5ab \sqrt[2]{ 5ab}[/tex].
Given : Expression
[tex](5ab)^{3/2}[/tex]
We have To find the expression in radical form
What is the Radical form?
Radical form is writing number into square root , cubic form;
[tex]x^{a/n} = \sqrt[n]{x^a}[/tex]
Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Now, Expression Re-write it as,
[tex](5ab)^{3/2} = \sqrt[2]{5ab^3} \\\\(5ab)^{3/2} = \sqrt[2]{5^3a^3b^3} \\\\(5ab)^{3/2} = \sqrt[2]{5^2a^2b^2 5ab} \\\\(5ab)^{3/2} =5ab \sqrt[2]{ 5ab}[/tex]
Therefore, The required radical form of the given Expression [tex](5ab)^{3/2}[/tex]would be as [tex](5ab)^{3/2} =5ab \sqrt[2]{ 5ab}[/tex].
Learn more about the radical form;
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