Respuesta :

Answer:

The required fraction is 9/4.

Step-by-step explanation:

The given expression is

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

Power of quotient property of exponent: If a and b and are non zero real number, m and n are any integers, then

[tex](\frac{a}{b})^m=\frac{a^m}{b^m}[/tex]

Using quotient property of exponent, we get

[tex](\frac{3}{2})^2=\frac{3^2}{2^2}[/tex]

[tex](\frac{3}{2})^2=\frac{9}{4}[/tex]

Therefore the required fraction is 9/4.

The fraction of [tex]\frac{3}{2}[/tex] when squared so it should be [tex]\frac{9}{4}[/tex].

Given that,

  • The fraction is [tex]\frac{3}{2}[/tex].
  • Here we have to square the given fraction.

Based on the above information, the calculation is as follows:

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

[tex]= \frac{9}{4}[/tex]

Therefore we can conclude that the fraction of [tex]\frac{3}{2}[/tex] when squared so it should be [tex]\frac{9}{4}[/tex].

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