Simplify (r^2)/(|r^2|)

Problem

(r2)/|r2|

Solution

1. Analyze the expression in the denominator. The term r2 is always non-negative for any real number r meaning r2≥0

2. Apply the definition of absolute value. Since r2 is never negative, the absolute value |r2| is equal to r2 itself.

3. Substitute the simplified denominator back into the expression.

(r2)/(r2)

4. Simplify the fraction. Any non-zero value divided by itself equals 1 Note that the expression is undefined if r=0

Final Answer

(r2)/|r2|=1,r≠0

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