Questions: (-2/3)^2

Transcript text: $\left(-\frac{2}{3}\right)^{2}$

Solution

Solution Steps

Step 1: Squaring the Numerator and Denominator

To evaluate $\left(-\frac{2}{3}\right)^{2}$, we first square the numerator and the denominator separately. The numerator is $-2$, and squaring it gives: \[ (-2)^{2} = 4 \] The denominator is $3$, and squaring it gives: \[ 3^{2} = 9 \]

Step 2: Forming the Squared Fraction

Now, we can form the squared fraction using the squared numerator and denominator: \[ \left(-\frac{2}{3}\right)^{2} = \frac{4}{9} \]

Step 3: Decimal Representation

The decimal representation of $\frac{4}{9}$ is approximately $0.4444$ when rounded to four significant digits.

Final Answer

Thus, the final result of the expression $\left(-\frac{2}{3}\right)^{2}$ is: \[ \boxed{\frac{4}{9}} \]

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