solve this problem and show evidence: 216^1^/^3

The expression you want to solve is:

\[
216^{\frac{1}{3}}
\]

This represents the cube root of 216. To solve it, we need to find a number \( x \) such that:

\[
x^3 = 216
\]

The cube root of 216 is 6 because:

\[
6^3 = 6 \times 6 \times 6 = 216
\]

Therefore:

\[
216^{\frac{1}{3}} = 6
\]

### Conclusion:
\[
216^{\frac{1}{3}} = 6
\]

Would you like further details on cube roots or any part of this explanation?

### Related Questions:
1. What is \( 125^{\frac{1}{3}} \)?
2. How do you calculate \( 343^{\frac{1}{3}} \)?
3. What is the cube root of \( 512 \)?
4. Explain why \( 64^{\frac{1}{3}} \) equals 4.
5. Can cube roots of negative numbers be calculated?

### Tip:
To find cube roots of large numbers quickly, try factoring the number to find its prime components first!

solve this problem and show evidence: 216^1/3

Learn how to solve the expression 216^1/3 by finding the cube root of 216. This problem explores the properties of exponents and cube roots, providing a detailed step-by-step solution. Suitable for students in Grades 6-8.

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