Evaluate 1-(-12/13)^2

Problem

1−(−12/13)2

Solution

1. Square the fraction by squaring both the numerator and the denominator. Since the exponent is even, the negative sign becomes positive.

(−12/13)2=144/169

2. Substitute the squared value back into the original expression.

1−144/169

3. Find a common denominator to perform the subtraction by rewriting the integer 1 as a fraction.

1=169/169

4. Subtract the numerators while keeping the common denominator.

169/169−144/169=(169−144)/169

5. Simplify the numerator to find the final result.

25/169

Final Answer

1−(−12/13)2=25/169

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