To evaluate (−32)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:
32=9
Step 2: Forming the Squared Fraction
Now, we can form the squared fraction using the squared numerator and denominator:
(−32)2=94
Step 3: Decimal Representation
The decimal representation of 94 is approximately 0.4444 when rounded to four significant digits.
Final Answer
Thus, the final result of the expression (−32)2 is:
94