christabel02
christabel02 christabel02
  • 20-06-2020
  • Mathematics
contestada

Work out: (⅔)^-2 With an explanation please and thank you.

Respuesta :

ronhagrid310
ronhagrid310 ronhagrid310
  • 20-06-2020

Answer:

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

Step-by-step explanation:

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

Answer Link
Awakes
Awakes Awakes
  • 20-06-2020

Answer:

[tex]\frac{9}{4}[/tex] , 2.25, or 2[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

First of all, you would need to apply the exponent rule to the equation.

[tex]\frac{1}{(\frac{2}{3})^{2} }[/tex]

Then,

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

So,

[tex]\frac{1}{\frac{4}{9} }[/tex]

Once you apply the fraction rule, the answer is

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

Answer Link

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