$5^{1 / 2} \cdot 13 / 5
Answer (2)
Rewrite 5 1/2 as 5 .
Rewrite the expression as 5 ⋅ 5 13 .
Rewrite 5 as 5 ⋅ 5 .
Simplify the expression to 5 13 5 .
5 13 5
Explanation
Understanding the Problem We are given the expression 5 1/2 "."13/5 and we need to simplify it.
Rewriting the Expression First, let's rewrite 5 1/2 as 5 . So the expression becomes 5 ⋅ 5 13 .
Rewriting 5 Now, let's rewrite 5 as 5 ⋅ 5 . The expression becomes 5 ⋅ 5 13 5 .
Cancelling Common Factors We can cancel out a factor of 5 from the numerator and the denominator, which gives us 5 13 .
Rationalizing the Denominator To rationalize the denominator, we multiply both the numerator and the denominator by 5 . This gives us 5 13 5 .
Final Answer Therefore, the simplified expression is 5 13 5 .
Examples
Imagine you are calculating the area of a rectangle where one side is 5 meters and the other side is 5 13 meters. The area would be 5 "." 5 13 = 5 13 5 square meters. Simplifying expressions like this is useful in various real-world scenarios, such as calculating areas, volumes, or other quantities in physics and engineering.
To simplify 5 1/2 ⋅ 5 13 , we rewrite it as 5 ⋅ 5 13 and simplify to get 5 13 5 . This involves canceling common factors and rationalizing the denominator. The final simplified expression is 5 13 5 .
;
