Answer:
Radical form of the expression [tex]4^{\frac{3}{2} }[/tex] is, 8
Step-by-step explanation:
Given the expression: [tex]4^{\frac{3}{2} }[/tex]
Since, [tex]\sqrt{4^3}[/tex] is same as [tex]4^{\frac{3}{2} }[/tex]
Now, to write an exponent in radical form,
then the denominator or the index goes in front of the radical and
the numerator goes inside of the radical.
we raise the base to the power of the numerator then:
[tex]4^{\frac{3}{2} }[/tex] = [tex]\sqrt{64}[/tex] = [tex]\sqrt{8 \times 8}[/tex] = [tex]\sqrt{8^2} = 8[/tex]
therefore, the radical form of the given expression is, 8
