https://file.aiquickdraw.com/mathbot/file/17263653379058mt93utr.jpg

The expression given in the image is \(\left( \frac{2}{3} \right)^{-3}\).

### Rewriting with a positive exponent:
To rewrite \(\left( \frac{2}{3} \right)^{-3}\) using a positive exponent, apply the rule for negative exponents:

\[
a^{-n} = \frac{1}{a^n}
\]

So, \(\left( \frac{2}{3} \right)^{-3} = \frac{1}{\left( \frac{2}{3} \right)^3}\).

Now, simplify \(\left( \frac{2}{3} \right)^3\):
\[
\left( \frac{2}{3} \right)^3 = \frac{2^3}{3^3} = \frac{8}{27}
\]

Thus, the expression becomes:
\[
\frac{1}{\frac{8}{27}} = \frac{27}{8}
\]

### Final Answer:
\[
\left( \frac{2}{3} \right)^{-3} = \frac{27}{8}
\]

Would you like further details or explanations on this? 

Here are 5 related questions for further practice:
1. Rewrite \(\left( \frac{4}{5} \right)^{-2}\) using positive exponents.
2. Simplify \(\left( \frac{3}{7} \right)^{-4}\).
3. Rewrite \(\left( \frac{5}{6} \right)^{-1}\) using positive exponents.
4. Evaluate \(\left( \frac{7}{2} \right)^{-2}\) in its simplest form.
5. Simplify \(\left( \frac{1}{4} \right)^{-3}\).

**Tip**: When dealing with negative exponents, remember that the base will be flipped and the exponent becomes positive.

Rewrite the expression (2/3)^(-3) using a positive exponent.

Learn how to simplify the expression (2/3)^(-3) by using the rules of negative exponents. Understand the formula and the steps to rewrite the expression with a positive exponent and simplify the result.

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