Respuesta :
Answer:
The required radical form is [tex](5ab)^{\frac{3}{2}}=5ab\sqrt[2]{5ab}[/tex]
Step-by-step explanation:
Given : Expression [tex](5ab)^{\frac{3}{2}}[/tex]
To find : What is the expression in radical form?
Solution :
Radical form is writing number into square root , cubic form.
[tex]x^{\frac{a}{n}}=\sqrt[n]{x^a}[/tex]
Expression [tex](5ab)^{\frac{3}{2}}[/tex]
Re-write it as,
[tex](5ab)^{\frac{3}{2}}=\sqrt[2]{(5ab)^3}[/tex]
[tex](5ab)^{\frac{3}{2}}=\sqrt[2]{5^3a^3b^3}[/tex]
[tex](5ab)^{\frac{3}{2}}=\sqrt[2]{5^2a^2b^25ab}[/tex]
[tex](5ab)^{\frac{3}{2}}=5ab\sqrt[2]{5ab}[/tex]
Therefore, The required radical form is [tex](5ab)^{\frac{3}{2}}=5ab\sqrt[2]{5ab}[/tex]
