Respuesta :

Answer:

8

Step-by-step explanation:

radical form conversion uses the equation: [tex]\alpha ^\frac{z}{n} = `^n\sqrt{a^x}[/tex]

Use the rule to convert 4^3/2 to a radical, where a = 4,  x = 3, and n = 2

[tex]\sqrt{4^3}[/tex]

simplified, your answer is 8

hope this helps:)

Answer:

8

Step-by-step explanation:

[tex]27^\frac{1}{3}[/tex] is the same as [tex]\sqrt[3]{27^1}[/tex]. To write an exponent in radical form , the denominator, or 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.

[tex]4^{ \frac{3}{2}}[/tex] is the same as [tex]\sqrt4^3}[/tex]

[tex]\sqrt{64}[/tex]

[tex]\sqrt(8*8)[/tex]

[tex]\cancel\sqrt(8^\cancel2) (cancel)[/tex]

= 8