Answer:
The radical form of the expression [tex]4^{\frac{3}{2}}[/tex] is, 8
Step-by-step explanation:
Using radical form rules:
- [tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]
- [tex]\sqrt[n]{a^n} = a[/tex]
Simplify the expression: [tex]4^{\frac{3}{2}}[/tex]
Using the radical form rules:
[tex]4^{\frac{3}{2}} = \sqrt{4^3} =\sqrt{64}[/tex]
we can write 64 as [tex]8 \times 8 = 8^2[/tex]
=[tex]\sqrt{8\times 8} = \sqrt{8^2} =8[/tex]
Therefore, the radical form of the expression [tex]4^{\frac{3}{2}}[/tex] is, 8
