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

Problem

(r^2)/|r^2|

Solution

1. Analyze the expression in the denominator. The term r^2 is always non-negative for any real number r meaning r^2≥0

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

3. Substitute the simplified denominator back into the expression.

(r^2)/(r^2)

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

Final Answer

(r^2)/|r^2|=1,r≠0

Want more problems? Check here!