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The expression given is \(\left( \frac{7}{10} \right)^3\).

### Step-by-step Solution:
1. **Cube the numerator**: \( 7^3 = 7 \times 7 \times 7 = 343 \).
2. **Cube the denominator**: \( 10^3 = 10 \times 10 \times 10 = 1000 \).

Thus, \(\left( \frac{7}{10} \right)^3 = \frac{343}{1000}\).

### Final Answer:
\[
\frac{343}{1000}
\]

Would you like further details or have any questions? Here are some related questions for deeper understanding:

1. What would \(\left( \frac{7}{10} \right)^2\) evaluate to?
2. How would you simplify \(\left( \frac{3}{5} \right)^4\)?
3. What is the general rule for raising fractions to a power?
4. How does the result change if \(\frac{7}{10}\) was negative?
5. Can the result \(\frac{343}{1000}\) be further simplified?

**Tip:** When raising fractions to a power, apply the power separately to the numerator and the denominator.

Evaluate the expression (7/10)^3 by cubing both the numerator and the denominator separately. This problem teaches exponentiation of fractions and covers fundamental math concepts suitable for Grades 6-8.

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