The question asks whether the number 169 is a perfect square, a perfect cube, both, or neither.

Let's analyze this:

1. Perfect Square: A number is a perfect square if it can be expressed as the square of an integer. The square root of 169 is: $\sqrt{169} = 13$ Since 13 is an integer, 169 is a perfect square.

2. Perfect Cube: A number is a perfect cube if it can be expressed as the cube of an integer. The cube root of 169 is approximately: $\sqrt[3]{169} \approx 5.528$ Since 5.528 is not an integer, 169 is not a perfect cube.

Conclusion:

169 is a perfect square but not a perfect cube.

Would you like more details or have any questions?

Here are some related questions:

1. What is a perfect square, and how do you find one?
2. What is a perfect cube, and how do you calculate cube roots?
3. Can a number be both a perfect square and a perfect cube?
4. What is the difference between perfect squares and perfect cubes?
5. What is the prime factorization of 169?

Tip: For quick identification, knowing the squares of integers up to at least 20 can help recognize perfect squares easily.