Question

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

Answer 1

Answer:

$\frac{9}{4}$

Step-by-step explanation:

$(\frac{2}{3} )^{-2} = (\frac{3}{2} )^{2} = \frac{9}{4}$

Answer 2

Answer:

$\frac{9}{4}$ , 2.25, or 2$\frac{1}{4}$

Step-by-step explanation:

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

$\frac{1}{(\frac{2}{3})^{2} }$

Then,

($\frac{2}{3}$)^2 = $\frac{4}{9}$

So,

$\frac{1}{\frac{4}{9} }$

Once you apply the fraction rule, the answer is

$\frac{9}{4}$