https://file.aiquickdraw.com/mathbot/file/1725379450963g6zne1su.jpg

The image shows the mathematical expression:

\[
\left( \frac{2}{3} \right)^{-1}
\]

To solve this expression, we need to understand what raising a fraction to the power of \(-1\) means. 

### Explanation:

Raising a fraction to the power of \(-1\) means taking the reciprocal of the fraction. The reciprocal of a fraction \(\frac{a}{b}\) is \(\frac{b}{a}\).

So, applying this to the given expression:

\[
\left( \frac{2}{3} \right)^{-1} = \frac{3}{2}
\]

Thus, the result is \(\frac{3}{2}\).

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. What happens when a fraction is raised to a negative exponent other than \(-1\)?
2. How do you simplify an expression with a positive fractional exponent?
3. What is the reciprocal of a mixed number?
4. How do you simplify expressions involving exponents and radicals?
5. How do exponents work with negative bases?

**Tip:** When dealing with negative exponents, remember that they indicate the reciprocal of the base raised to the positive exponent.

Explore the solution to the expression (2/3)^-1 and learn how negative exponents work by understanding the concept of reciprocals. This explanation is suitable for students in Grades 6-8.

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