Evaluate (2/3)^(-2): animated lesson

1. 1. The problem
   Worked example

   $\left({\frac{2}{3}}\right)^{-2}$
2. 2. Step by step
   1. $$\left({\frac{2}{3}}\right)^{-2}$$
      Read the expression
   2. $$\left({\frac{2}{3}}\right)^{-2} = \frac{9}{4}$$
      Simplify exactly
   3. $$\left({\frac{2}{3}}\right)^{-2} = \frac{9}{4} \approx 2.25$$
      Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
3. 3. The answer
   $$\frac{9}{4} \approx 2.25$$

   (2/3)^(-2) = 9/4 ≈ 2.25

4. 4. Check
   • ✓Decimal value: 2.25

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