what is 3 to the power of 3 over 2 equal to? (5 points) cube root of 9 square root of 9 cube root of 27 square root of 27

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Respuesta :

dalendrk dalendrk · Answer 1 · 2016-07-25T02:53:10+02:00

[tex]a^\frac{m}{n}}=\sqrt[n]{a^m}\\\\3^\frac{3}{2}=\sqrt{3^3}=\boxed{\sqrt{27}}[/tex]

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virtuematane virtuematane · Answer 2 · 2019-01-31T06:04:57+01:00

Answer:

Hence, square root of 27 is the answer.

Step-by-step explanation:

We are asked to find the value of the maths problem

what is 3 to the power of 3 over 2 equal to?

i.e. we are asked to find the value of:

[tex]3^{\frac{3}{2} }[/tex]

We know that any number of the type [tex]a^{\frac{m}{n}}[/tex] could also be represented as:

[tex]\sqrt[n]{a^{m}}[/tex]

Hence, [tex]3^{\frac{3}{2} }[/tex] could also be represented as:

[tex]\sqrt[2]{3^{3}}[/tex]

and the value of [tex]\sqrt[2]{3^{3}}[/tex] is:

[tex]\sqrt[2]{27}=\sqrt{27}[/tex]

Hence, square root of 27 is the answer.