https://file.aiquickdraw.com/mathbot/file/1726886707206yuov6vwv.jpg

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

To simplify:

1. The negative exponent means we take the reciprocal of the base:
   \[
   \left(\frac{2}{3}\right)^{-3} = \left(\frac{3}{2}\right)^{3}
   \]

2. Now, raise the fraction \(\frac{3}{2}\) to the power of 3:
   \[
   \left(\frac{3}{2}\right)^{3} = \frac{3^3}{2^3} = \frac{27}{8}
   \]

So, \(\left(\frac{2}{3}\right)^{-3} = \frac{27}{8}\).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. How do you simplify expressions with negative exponents?
2. What is the general rule for simplifying fractional exponents?
3. How do you raise a fraction to a power?
4. How do negative exponents affect the base of an expression?
5. Can negative exponents ever result in a negative number?

**Tip:** When dealing with negative exponents, always remember to take the reciprocal of the base.

Simplify the expression completely: (2/3)^(-3)

Learn how to simplify the expression (2/3)^(-3) step-by-step. This example involves key concepts such as negative exponents, reciprocal rules, and raising fractions to powers. Suitable for students in Grades 8-10.

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