Math Problem Statement

Which of the following numbers is both a perfect square and a perfect cube?

Solution

The image contains a question in Hindi that translates to:

"Which of the following numbers is both a perfect square and a perfect cube?"

Would you like to provide the options so I can help you solve it? Alternatively, I can explain how to find such numbers if you prefer.

Let me know if you'd like further details or clarification!

Here are five related questions:

  1. What are perfect squares, and how are they determined?
  2. What are perfect cubes, and how do you identify them?
  3. Can a number be both a perfect square and a perfect cube? Why or why not?
  4. What is the smallest number that is both a perfect square and a perfect cube?
  5. How do you find the least common multiple of two powers (squares and cubes)?

Tip: A number that is both a perfect square and a perfect cube must be a perfect sixth power!

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Math Problem Analysis

Mathematical Concepts

Perfect Squares
Perfect Cubes

Formulas

n^2 for perfect square, n^3 for perfect cube

Theorems

A number that is both a perfect square and a perfect cube must be a perfect sixth power.

Suitable Grade Level

Grades 7-9