The simplified form of (w/13) * (5/w^2) * (5/2) is 25 / (26w).
To simplify the expression (w/13) * (5/w^2) * (5/2), multiply the numerators and denominators together:
Numerator: w * 5 * 5
Denominator: 13 * w^2 * 2
This simplifies to (25w) / (26w^2).
Now, cancel a common factor in the numerator and denominator. Both terms have a factor of w, so the expression simplifies to 25 / (26w).
Therefore, the simplified form of the given expression is 25 / (26w), where 25 is the constant in the numerator, 26 is the constant in the denominator, and w is the variable expression in the denominator.
Complete question:
Simplify. Assume all variables are positive. w/13 × 5/w^2 × 5/2. Write your answer in the form A or A/B, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.